88686951890625 has 315 divisors, whose sum is σ = 182264407591189. Its totient is φ = 42943230000000.

The previous prime is 88686951890623. The next prime is 88686951890629. The reversal of 88686951890625 is 52609815968688.

The square root of 88686951890625 is 9417375.

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

88686951890625 is a `hidden beast` number, since 8 + 8 + 6 + 8 + 6 + 9 + 518 + 90 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 14154878716209 + 74532073174416 = 3762297^2 + 8633196^2 .

It is not a de Polignac number, because 88686951890625 - 2¹ = 88686951890623 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (88686951890623) by changing a digit.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 116540015245 + ... + 116540016005.

Almost surely, 2^{88686951890625} is an apocalyptic number.

88686951890625 is the 9417375-th square number.

88686951890625 is the 4708688-th centered octagonal number.

It is an amenable number.

88686951890625 is an abundant number, since it is smaller than the sum of its proper divisors (93577455700564).

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

88686951890625 is an frugal number, since it uses more digits than its factorization.

88686951890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3583180800, while the sum is 81.

88686951890625 divided by its sum of digits (81) gives a square (1094900640625 = 1046375²).

The spelling of 88686951890625 in words is "eighty-eight trillion, six hundred eighty-six billion, nine hundred fifty-one million, eight hundred ninety thousand, six hundred twenty-five".