87409087144704 has 864 divisors, whose sum is σ = 308564057034240. Its totient is φ = 24212306460672.

The previous prime is 87409087144699. The next prime is 87409087144733. The reversal of 87409087144704 is 40744178090478.

87409087144704 is a `hidden beast` number, since 8 + 7 + 4 + 0 + 90 + 8 + 71 + 4 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 597199659 + ... + 597346005.

Almost surely, 2^{87409087144704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87409087144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154282028517120).

87409087144704 is an abundant number, since it is smaller than the sum of its proper divisors (221154969889536).

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

87409087144704 is a wasteful number, since it uses less digits than its factorization.

87409087144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146442 (or 146405 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 87409087144704 in words is "eighty-seven trillion, four hundred nine billion, eighty-seven million, one hundred forty-four thousand, seven hundred four".