856352933568 has 168 divisors, whose sum is σ = 2678534217216. Its totient is φ = 259422451200.

The previous prime is 856352933477. The next prime is 856352933603. The reversal of 856352933568 is 865339253658.

856352933568 is a `hidden beast` number, since 8 + 5 + 6 + 35 + 2 + 9 + 33 + 568 = 666.

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, 22987405 + ... + 23024627.

Almost surely, 2^856352933568 is an apocalyptic number.

856352933568 is a gapful number since it is divisible by the number (88) 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 856352933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339267108608).

856352933568 is an abundant number, since it is smaller than the sum of its proper divisors (1822181283648).

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

856352933568 is a wasteful number, since it uses less digits than its factorization.

856352933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40883 (or 40870 counting only the distinct ones).

The product of its digits is 139968000, while the sum is 63.

The spelling of 856352933568 in words is "eight hundred fifty-six billion, three hundred fifty-two million, nine hundred thirty-three thousand, five hundred sixty-eight".