856052537047680 has 3072 divisors, whose sum is σ = 3617078959411200. Its totient is φ = 167634893537280.

The previous prime is 856052537047679. The next prime is 856052537047709. The reversal of 856052537047680 is 86740735250658.

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 383 ways as a sum of consecutive naturals, for example, 654975161587 + ... + 654975162893.

It is an arithmetic number, because the mean of its divisors is an integer number (1177434557100).

Almost surely, 2^{856052537047680} is an apocalyptic number.

856052537047680 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 856052537047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808539479705600).

856052537047680 is an abundant number, since it is smaller than the sum of its proper divisors (2761026422363520).

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

856052537047680 is a wasteful number, since it uses less digits than its factorization.

856052537047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 66.

The spelling of 856052537047680 in words is "eight hundred fifty-six trillion, fifty-two billion, five hundred thirty-seven million, forty-seven thousand, six hundred eighty".