856013872000 has 512 divisors, whose sum is σ = 2472801177600. Its totient is φ = 288652492800.

The previous prime is 856013871983. The next prime is 856013872013. The reversal of 856013872000 is 278310658.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3024783859 + ... + 3024784141.

It is an arithmetic number, because the mean of its divisors is an integer number (4829689800).

Almost surely, 2^856013872000 is an apocalyptic number.

856013872000 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 856013872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236400588800).

856013872000 is an abundant number, since it is smaller than the sum of its proper divisors (1616787305600).

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

856013872000 is a wasteful number, since it uses less digits than its factorization.

856013872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 856013872000 in words is "eight hundred fifty-six billion, thirteen million, eight hundred seventy-two thousand".