987240960000 has 1365 divisors, whose sum is σ = 3866635670359. Its totient is φ = 251817984000.

The previous prime is 987240959981. The next prime is 987240960007. The reversal of 987240960000 is 69042789.

It is a happy number.

The square root of 987240960000 is 993600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 77399691264 + 909841268736 = 278208^2 + 953856^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (987240960007) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 42923519989 + ... + 42923520011.

Almost surely, 2^987240960000 is an apocalyptic number.

987240960000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

987240960000 is the 993600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987240960000

987240960000 is an abundant number, since it is smaller than the sum of its proper divisors (2879394710359).

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

987240960000 is an frugal number, since it uses more digits than its factorization.

987240960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 987240960000 in words is "nine hundred eighty-seven billion, two hundred forty million, nine hundred sixty thousand".