856972051200 has 864 divisors, whose sum is σ = 3295739059200. Its totient is φ = 217479905280.

The previous prime is 856972051189. The next prime is 856972051217. The reversal of 856972051200 is 2150279658.

856972051200 is a `hidden beast` number, since 8 + 5 + 69 + 72 + 0 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021420381 + ... + 1021421219.

It is an arithmetic number, because the mean of its divisors is an integer number (3814512800).

Almost surely, 2^856972051200 is an apocalyptic number.

856972051200 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 856972051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647869529600).

856972051200 is an abundant number, since it is smaller than the sum of its proper divisors (2438767008000).

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

856972051200 is a wasteful number, since it uses less digits than its factorization.

856972051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 856972051200 in words is "eight hundred fifty-six billion, nine hundred seventy-two million, fifty-one thousand, two hundred".