87405857472 has 112 divisors (see below), whose sum is σ = 243819273600. Its totient is φ = 27558051840.

The previous prime is 87405857431. The next prime is 87405857507. The reversal of 87405857472 is 27475850478.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319679 + ... + 2357057.

It is an arithmetic number, because the mean of its divisors is an integer number (2176957800).

Almost surely, 2^87405857472 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 87405857472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121909636800).

87405857472 is an abundant number, since it is smaller than the sum of its proper divisors (156413416128).

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

87405857472 is a wasteful number, since it uses less digits than its factorization.

87405857472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38054 (or 38044 counting only the distinct ones).

The product of its (nonzero) digits is 17561600, while the sum is 57.

The spelling of 87405857472 in words is "eighty-seven billion, four hundred five million, eight hundred fifty-seven thousand, four hundred seventy-two".