88264239959025 has 81 divisors (see below), whose sum is σ = 171190915034529. Its totient is φ = 43452262376640.

The previous prime is 88264239958987. The next prime is 88264239959057. The reversal of 88264239959025 is 52095993246288.

The square root of 88264239959025 is 9394905.

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

88264239959025 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 4 + 2 + 3 + 9 + 9 + 590 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22750238417841 + 65514001541184 = 4769721^2 + 8094072^2 .

It is a de Polignac number, because none of the positive numbers 2^k-88264239959025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1831982386 + ... + 1832030564.

Almost surely, 2^{88264239959025} is an apocalyptic number.

88264239959025 is the 9394905-th square number.

88264239959025 is the 4697453-rd centered octagonal number.

It is an amenable number.

88264239959025 is a deficient number, since it is larger than the sum of its proper divisors (82926675075504).

88264239959025 is an frugal number, since it uses more digits than its factorization.

88264239959025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96400 (or 48200 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 88264239959025 in words is "eighty-eight trillion, two hundred sixty-four billion, two hundred thirty-nine million, nine hundred fifty-nine thousand, twenty-five".