856314931200 has 288 divisors, whose sum is σ = 2852533363680. Its totient is φ = 226602188800.

The previous prime is 856314931183. The next prime is 856314931217. The reversal of 856314931200 is 2139413658.

It is an interprime number because it is at equal distance from previous prime (856314931183) and next prime (856314931217).

It is a super-2 number, since 2×856314931200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20100322 + ... + 20142878.

It is an arithmetic number, because the mean of its divisors is an integer number (9904629735).

Almost surely, 2^856314931200 is an apocalyptic number.

856314931200 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 856314931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426266681840).

856314931200 is an abundant number, since it is smaller than the sum of its proper divisors (1996218432480).

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

856314931200 is a wasteful number, since it uses less digits than its factorization.

856314931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42723 (or 42698 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 856314931200 in words is "eight hundred fifty-six billion, three hundred fourteen million, nine hundred thirty-one thousand, two hundred".