82057107176 has 32 divisors (see below), whose sum is σ = 175141656000. Its totient is φ = 35677002240.

The previous prime is 82057107149. The next prime is 82057107179. The reversal of 82057107176 is 67170175028.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (82057107179) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20269001 + ... + 20273048.

It is an arithmetic number, because the mean of its divisors is an integer number (5473176750).

Almost surely, 2^82057107176 is an apocalyptic number.

It is an amenable number.

82057107176 is an abundant number, since it is smaller than the sum of its proper divisors (93084548824).

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

82057107176 is a wasteful number, since it uses less digits than its factorization.

82057107176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40542089 (or 40542085 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 44.

The spelling of 82057107176 in words is "eighty-two billion, fifty-seven million, one hundred seven thousand, one hundred seventy-six".