856492814400 has 168 divisors, whose sum is σ = 2813372640960. Its totient is φ = 228124784640.

The previous prime is 856492814399. The next prime is 856492814423. The reversal of 856492814400 is 4418294658.

It is a super-2 number, since 2×856492814400² (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, 3920862 + ... + 4133538.

It is an arithmetic number, because the mean of its divisors is an integer number (16746265720).

Almost surely, 2^856492814400 is an apocalyptic number.

856492814400 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 856492814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406686320480).

856492814400 is an abundant number, since it is smaller than the sum of its proper divisors (1956879826560).

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

856492814400 is a wasteful number, since it uses less digits than its factorization.

856492814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213541 (or 213526 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 856492814400 in words is "eight hundred fifty-six billion, four hundred ninety-two million, eight hundred fourteen thousand, four hundred".