856385683046400 has 2160 divisors, whose sum is σ = 3191573024252928. Its totient is φ = 202304913408000.

The previous prime is 856385683046371. The next prime is 856385683046513. The reversal of 856385683046400 is 4640386583658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 881962597915 + ... + 881962598885.

Almost surely, 2^{856385683046400} is an apocalyptic number.

856385683046400 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 856385683046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595786512126464).

856385683046400 is an abundant number, since it is smaller than the sum of its proper divisors (2335187341206528).

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

856385683046400 is a wasteful number, since it uses less digits than its factorization.

856385683046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 66.

The spelling of 856385683046400 in words is "eight hundred fifty-six trillion, three hundred eighty-five billion, six hundred eighty-three million, forty-six thousand, four hundred".