87372910484656 has 80 divisors (see below), whose sum is σ = 176401440442368. Its totient is φ = 41878248192000.

The previous prime is 87372910484591. The next prime is 87372910484681. The reversal of 87372910484656 is 65648401927378.

It is a super-2 number, since 2×87372910484656² (a number of 29 digits) contains 22 as substring.

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, 24785895 + ... + 28090681.

It is a 2-persistent number, because it is pandigital, and so is 2⋅87372910484656 = 174745820969312, but 3⋅87372910484656 = 262118731453968 is not.

Almost surely, 2^{87372910484656} 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 87372910484656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88200720221184).

87372910484656 is an abundant number, since it is smaller than the sum of its proper divisors (89028529957712).

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

87372910484656 is a wasteful number, since it uses less digits than its factorization.

87372910484656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305330 (or 3305324 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 70.

The spelling of 87372910484656 in words is "eighty-seven trillion, three hundred seventy-two billion, nine hundred ten million, four hundred eighty-four thousand, six hundred fifty-six".