87408903600 has 480 divisors, whose sum is σ = 327014307840. Its totient is φ = 22147292160.

The previous prime is 87408903583. The next prime is 87408903607. The reversal of 87408903600 is 630980478.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (87408903607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17180257 + ... + 17185343.

It is an arithmetic number, because the mean of its divisors is an integer number (681279808).

Almost surely, 2^87408903600 is an apocalyptic number.

87408903600 is a gapful number since it is divisible by the number (80) 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 87408903600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163507153920).

87408903600 is an abundant number, since it is smaller than the sum of its proper divisors (239605404240).

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

87408903600 is a wasteful number, since it uses less digits than its factorization.

87408903600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87408903600 in words is "eighty-seven billion, four hundred eight million, nine hundred three thousand, six hundred".