869011755264 has 81 divisors (see below), whose sum is σ = 2505704146309. Its totient is φ = 289655669760.

The previous prime is 869011755253. The next prime is 869011755307. The reversal of 869011755264 is 462557110968.

It is a happy number.

The square root of 869011755264 is 932208.

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

869011755264 is a `hidden beast` number, since 86 + 9 + 0 + 1 + 1 + 7 + 552 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 851205521664 + 17806233600 = 922608^2 + 133440^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 869011755264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44736274 + ... + 44755694.

Almost surely, 2^869011755264 is an apocalyptic number.

869011755264 is the 932208-th square number.

It is an amenable number.

869011755264 is an abundant number, since it is smaller than the sum of its proper divisors (1636692391045).

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

869011755264 is an frugal number, since it uses more digits than its factorization.

869011755264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38864 (or 19426 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 869011755264 in words is "eight hundred sixty-nine billion, eleven million, seven hundred fifty-five thousand, two hundred sixty-four".