87459037977600 has 2640 divisors, whose sum is σ = 356858742721536. Its totient is φ = 21069103104000.

The previous prime is 87459037977599. The next prime is 87459037977673. The reversal of 87459037977600 is 677973095478.

87459037977600 is a `hidden beast` number, since 8 + 7 + 4 + 5 + 9 + 0 + 3 + 7 + 9 + 7 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 178124313355 + ... + 178124313845.

Almost surely, 2^{87459037977600} is an apocalyptic number.

87459037977600 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 87459037977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178429371360768).

87459037977600 is an abundant number, since it is smaller than the sum of its proper divisors (269399704743936).

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

87459037977600 is a wasteful number, since it uses less digits than its factorization.

87459037977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 87459037977600 in words is "eighty-seven trillion, four hundred fifty-nine billion, thirty-seven million, nine hundred seventy-seven thousand, six hundred".