82056623760 has 120 divisors (see below), whose sum is σ = 279061960320. Its totient is φ = 21604766976.

The previous prime is 82056623741. The next prime is 82056623813. The reversal of 82056623760 is 6732665028.

It is a happy number.

82056623760 is a `hidden beast` number, since 8 + 2 + 0 + 566 + 23 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664434 + ... + 778193.

It is an arithmetic number, because the mean of its divisors is an integer number (2325516336).

Almost surely, 2^82056623760 is an apocalyptic number.

82056623760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82056623760 is an abundant number, since it is smaller than the sum of its proper divisors (197005336560).

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

82056623760 is a wasteful number, since it uses less digits than its factorization.

82056623760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442725 (or 1442716 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 82056623760 in words is "eighty-two billion, fifty-six million, six hundred twenty-three thousand, seven hundred sixty".