82657000932 has 96 divisors (see below), whose sum is σ = 213546850944. Its totient is φ = 24673766400.

The previous prime is 82657000913. The next prime is 82657000957. The reversal of 82657000932 is 23900075628.

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, 8445882 + ... + 8455662.

It is an arithmetic number, because the mean of its divisors is an integer number (2224446364).

Almost surely, 2^82657000932 is an apocalyptic number.

82657000932 is the 234744-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82657000932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106773425472).

82657000932 is an abundant number, since it is smaller than the sum of its proper divisors (130889850012).

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

82657000932 is a wasteful number, since it uses less digits than its factorization.

82657000932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10749 (or 10747 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 82657000932 in words is "eighty-two billion, six hundred fifty-seven million, nine hundred thirty-two", and thus it is an aban number.