852957972864 has 80 divisors (see below), whose sum is σ = 2538389137020. Its totient is φ = 284319320832.

The previous prime is 852957972809. The next prime is 852957972883. The reversal of 852957972864 is 468279759258.

852957972864 is a `hidden beast` number, since 8 + 5 + 29 + 579 + 7 + 28 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 852957972792 and 852957972801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41123794 + ... + 41144529.

Almost surely, 2^852957972864 is an apocalyptic number.

It is an amenable number.

852957972864 is an abundant number, since it is smaller than the sum of its proper divisors (1685431164156).

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

852957972864 is an equidigital number, since it uses as much as digits as its factorization.

852957972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82268349 (or 82268328 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 852957972864 in words is "eight hundred fifty-two billion, nine hundred fifty-seven million, nine hundred seventy-two thousand, eight hundred sixty-four".