82356057085512 has 96 divisors (see below), whose sum is σ = 240260396814720. Its totient is φ = 23456073836160.

The previous prime is 82356057085459. The next prime is 82356057085517. The reversal of 82356057085512 is 21558075065328.

It is a happy number.

It is a super-2 number, since 2×82356057085512² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82356057085517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110085664 + ... + 110831247.

It is an arithmetic number, because the mean of its divisors is an integer number (2502712466820).

Almost surely, 2^{82356057085512} is an apocalyptic number.

It is an amenable number.

82356057085512 is an abundant number, since it is smaller than the sum of its proper divisors (157904339729208).

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

82356057085512 is a wasteful number, since it uses less digits than its factorization.

82356057085512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220917251 (or 220917240 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 57.

The spelling of 82356057085512 in words is "eighty-two trillion, three hundred fifty-six billion, fifty-seven million, eighty-five thousand, five hundred twelve".