856358417100 has 72 divisors (see below), whose sum is σ = 2477856285520. Its totient is φ = 228350638080.

The previous prime is 856358417063. The next prime is 856358417119. The reversal of 856358417100 is 1714853658.

856358417100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 856358417100.

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, 6981096 + ... + 7102704.

Almost surely, 2^856358417100 is an apocalyptic number.

It is an amenable number.

856358417100 is an abundant number, since it is smaller than the sum of its proper divisors (1621497868420).

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

856358417100 is a wasteful number, since it uses less digits than its factorization.

856358417100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145099 (or 145092 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 856358417100 in words is "eight hundred fifty-six billion, three hundred fifty-eight million, four hundred seventeen thousand, one hundred".