82176013728 has 576 divisors, whose sum is σ = 261006520320. Its totient is φ = 25393554432.

The previous prime is 82176013721. The next prime is 82176013753. The reversal of 82176013728 is 82731067128.

82176013728 is a `hidden beast` number, since 8 + 2 + 1 + 7 + 601 + 37 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (82176013721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 797825325 + ... + 797825427.

It is an arithmetic number, because the mean of its divisors is an integer number (453136320).

Almost surely, 2^82176013728 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 82176013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130503260160).

82176013728 is an abundant number, since it is smaller than the sum of its proper divisors (178830506592).

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

82176013728 is a wasteful number, since it uses less digits than its factorization.

82176013728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 82176013728 in words is "eighty-two billion, one hundred seventy-six million, thirteen thousand, seven hundred twenty-eight".