856604548800 has 4032 divisors, whose sum is σ = 4437603975168. Its totient is φ = 156764160000.

The previous prime is 856604548783. The next prime is 856604548801. The reversal of 856604548800 is 8845406658.

856604548800 is a `hidden beast` number, since 8 + 56 + 60 + 454 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856604548801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12064852765 + ... + 12064852835.

It is an arithmetic number, because the mean of its divisors is an integer number (1100596224).

Almost surely, 2^856604548800 is an apocalyptic number.

856604548800 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 856604548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218801987584).

856604548800 is an abundant number, since it is smaller than the sum of its proper divisors (3580999426368).

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

856604548800 is a wasteful number, since it uses less digits than its factorization.

856604548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 856604548800 in words is "eight hundred fifty-six billion, six hundred four million, five hundred forty-eight thousand, eight hundred".