87007405056 has 704 divisors, whose sum is σ = 287915233536. Its totient is φ = 23003136000.

The previous prime is 87007405049. The next prime is 87007405061. The reversal of 87007405056 is 65050470078.

It is a tau number, because it is divible by the number of its divisors (704).

It is a junction number, because it is equal to n+sod(n) for n = 87007404999 and 87007405017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 861459406 + ... + 861459506.

Almost surely, 2^87007405056 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 87007405056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143957616768).

87007405056 is an abundant number, since it is smaller than the sum of its proper divisors (200907828480).

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

87007405056 is a wasteful number, since it uses less digits than its factorization.

87007405056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 87007405056 in words is "eighty-seven billion, seven million, four hundred five thousand, fifty-six".