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987840000000 = 212325773
BaseRepresentation
bin11100101111111111101…
…10100011000000000000
310111102210021020102101200
432113333312203000000
5112141044020000000
62033450223301200
7131240411313000
oct16277766430000
93442707212350
10987840000000
11350a38a21a17
1213b54974a800
13721cac43579
1435b5149a000
151aa68e3d500
hexe5ffda3000

987840000000 has 1248 divisors, whose sum is σ = 4159481539200. Its totient is φ = 225792000000.

The previous prime is 987839999983. The next prime is 987840000011. The reversal of 987840000000 is 48789.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

987840000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 987840000000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141119999997 + ... + 141120000003.

It is an arithmetic number, because the mean of its divisors is an integer number (3332917900).

Almost surely, 2987840000000 is an apocalyptic number.

987840000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079740769600).

987840000000 is an abundant number, since it is smaller than the sum of its proper divisors (3171641539200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987840000000 is an frugal number, since it uses more digits than its factorization.

987840000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 987840000000 its reverse (48789), we get a palindrome (987840048789).

The spelling of 987840000000 in words is "nine hundred eighty-seven billion, eight hundred forty million", and thus it is an aban number.