82175467136 has 256 divisors, whose sum is σ = 203586255360. Its totient is φ = 32240173056.

The previous prime is 82175467117. The next prime is 82175467159. The reversal of 82175467136 is 63176457128.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110599181 + ... + 110599923.

It is an arithmetic number, because the mean of its divisors is an integer number (795258810).

Almost surely, 2^82175467136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82175467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101793127680).

82175467136 is an abundant number, since it is smaller than the sum of its proper divisors (121410788224).

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

82175467136 is a wasteful number, since it uses less digits than its factorization.

82175467136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The spelling of 82175467136 in words is "eighty-two billion, one hundred seventy-five million, four hundred sixty-seven thousand, one hundred thirty-six".