856516510080 has 768 divisors, whose sum is σ = 3881586009600. Its totient is φ = 168608563200.

The previous prime is 856516510019. The next prime is 856516510093. The reversal of 856516510080 is 80015615658.

856516510080 is a `hidden beast` number, since 8 + 5 + 6 + 51 + 6 + 510 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8376060 + ... + 8477700.

It is an arithmetic number, because the mean of its divisors is an integer number (5054148450).

Almost surely, 2^856516510080 is an apocalyptic number.

856516510080 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 856516510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940793004800).

856516510080 is an abundant number, since it is smaller than the sum of its proper divisors (3025069499520).

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

856516510080 is a wasteful number, since it uses less digits than its factorization.

856516510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101703 (or 101688 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 856516510080 in words is "eight hundred fifty-six billion, five hundred sixteen million, five hundred ten thousand, eighty".