856705934880 has 120 divisors (see below), whose sum is σ = 3023458074252. Its totient is φ = 228454912512.

The previous prime is 856705934857. The next prime is 856705934881. The reversal of 856705934880 is 88439507658.

856705934880 is a `hidden beast` number, since 8 + 5 + 67 + 0 + 5 + 93 + 488 + 0 = 666.

856705934880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 856594674576 + 111260304 = 925524^2 + 10548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×856705934880² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (856705934881) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33038967 + ... + 33064886.

Almost surely, 2^856705934880 is an apocalyptic number.

856705934880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

856705934880 is an abundant number, since it is smaller than the sum of its proper divisors (2166752139372).

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

856705934880 is a wasteful number, since it uses less digits than its factorization.

856705934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66103880 (or 66103863 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 856705934880 in words is "eight hundred fifty-six billion, seven hundred five million, nine hundred thirty-four thousand, eight hundred eighty".