856531501056 has 1152 divisors, whose sum is σ = 3248824750080. Its totient is φ = 220723937280.

The previous prime is 856531501043. The next prime is 856531501109. The reversal of 856531501056 is 650105135658.

856531501056 is a `hidden beast` number, since 8 + 5 + 6 + 531 + 5 + 0 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6744342465 + ... + 6744342591.

Almost surely, 2^856531501056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856531501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624412375040).

856531501056 is an abundant number, since it is smaller than the sum of its proper divisors (2392293249024).

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

856531501056 is an equidigital number, since it uses as much as digits as its factorization.

856531501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 856531501056 in words is "eight hundred fifty-six billion, five hundred thirty-one million, five hundred one thousand, fifty-six".