851285857680 has 160 divisors (see below), whose sum is σ = 2932725984000. Its totient is φ = 226969371648.

The previous prime is 851285857657. The next prime is 851285857687. The reversal of 851285857680 is 86758582158.

851285857680 is a `hidden beast` number, since 8 + 5 + 1 + 2 + 8 + 58 + 576 + 8 + 0 = 666.

It is a super-2 number, since 2×851285857680² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (851285857687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13358052 + ... + 13421628.

It is an arithmetic number, because the mean of its divisors is an integer number (18329537400).

Almost surely, 2^851285857680 is an apocalyptic number.

851285857680 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 851285857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466362992000).

851285857680 is an abundant number, since it is smaller than the sum of its proper divisors (2081440126320).

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

851285857680 is a wasteful number, since it uses less digits than its factorization.

851285857680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69798 (or 69786 counting only the distinct ones).

The product of its (nonzero) digits is 43008000, while the sum is 63.

The spelling of 851285857680 in words is "eight hundred fifty-one billion, two hundred eighty-five million, eight hundred fifty-seven thousand, six hundred eighty".