856983134880 has 576 divisors, whose sum is σ = 3339027619200. Its totient is φ = 198791331840.

The previous prime is 856983134879. The next prime is 856983134951. The reversal of 856983134880 is 88431389658.

856983134880 is a `hidden beast` number, since 8 + 5 + 69 + 83 + 13 + 488 + 0 = 666.

It is a super-2 number, since 2×856983134880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19047451 + ... + 19092389.

It is an arithmetic number, because the mean of its divisors is an integer number (5796922950).

Almost surely, 2^856983134880 is an apocalyptic number.

856983134880 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 856983134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669513809600).

856983134880 is an abundant number, since it is smaller than the sum of its proper divisors (2482044484320).

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

856983134880 is a wasteful number, since it uses less digits than its factorization.

856983134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45037 (or 45026 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 856983134880 in words is "eight hundred fifty-six billion, nine hundred eighty-three million, one hundred thirty-four thousand, eight hundred eighty".