88788858310656 has 2457 divisors, whose sum is σ = 334997986464333. Its totient is φ = 23446901882880.

The previous prime is 88788858310609. The next prime is 88788858310673. The reversal of 88788858310656 is 65601385888788.

It is a happy number.

The square root of 88788858310656 is 9422784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4278344749056 + 84510513561600 = 2068416^2 + 9192960^2 .

It is a super-2 number, since 2×88788858310656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2165581909996 + ... + 2165581910036.

Almost surely, 2^{88788858310656} is an apocalyptic number.

88788858310656 is the 9422784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88788858310656

88788858310656 is an abundant number, since it is smaller than the sum of its proper divisors (246209128153677).

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

88788858310656 is an frugal number, since it uses more digits than its factorization.

88788858310656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4954521600, while the sum is 81.

88788858310656 divided by its sum of digits (81) gives a square (1096158744576 = 1046976²).

The spelling of 88788858310656 in words is "eighty-eight trillion, seven hundred eighty-eight billion, eight hundred fifty-eight million, three hundred ten thousand, six hundred fifty-six".