852014972160 has 1440 divisors, whose sum is σ = 3482187375744. Its totient is φ = 197074944000.

The previous prime is 852014972147. The next prime is 852014972167. The reversal of 852014972160 is 61279410258.

852014972160 is a `hidden beast` number, since 8 + 520 + 1 + 49 + 7 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852014972167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2574063195 + ... + 2574063525.

Almost surely, 2^852014972160 is an apocalyptic number.

852014972160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852014972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741093687872).

852014972160 is an abundant number, since it is smaller than the sum of its proper divisors (2630172403584).

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

852014972160 is a wasteful number, since it uses less digits than its factorization.

852014972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 852014972160 in words is "eight hundred fifty-two billion, fourteen million, nine hundred seventy-two thousand, one hundred sixty".