864860759566272 has 224 divisors, whose sum is σ = 2905797471705600. Its totient is φ = 247098961760256.

The previous prime is 864860759566253. The next prime is 864860759566277. The reversal of 864860759566272 is 272665957068468.

864860759566272 is a `hidden beast` number, since 8 + 6 + 48 + 6 + 0 + 7 + 5 + 9 + 566 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 864860759566191 and 864860759566200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864860759566277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 767206179 + ... + 768332637.

Almost surely, 2^{864860759566272} is an apocalyptic number.

It is an amenable number.

864860759566272 is an abundant number, since it is smaller than the sum of its proper divisors (2040936712139328).

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

864860759566272 is a wasteful number, since it uses less digits than its factorization.

864860759566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189960 (or 1189944 counting only the distinct ones).

The product of its (nonzero) digits is 14631321600, while the sum is 81.

The spelling of 864860759566272 in words is "eight hundred sixty-four trillion, eight hundred sixty billion, seven hundred fifty-nine million, five hundred sixty-six thousand, two hundred seventy-two".