82972665600 has 1728 divisors, whose sum is σ = 350377574400. Its totient is φ = 17031168000.

The previous prime is 82972665563. The next prime is 82972665617. The reversal of 82972665600 is 656627928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2676537585 + ... + 2676537615.

It is an arithmetic number, because the mean of its divisors is an integer number (202764800).

Almost surely, 2^82972665600 is an apocalyptic number.

82972665600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82972665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175188787200).

82972665600 is an abundant number, since it is smaller than the sum of its proper divisors (267404908800).

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

82972665600 is a wasteful number, since it uses less digits than its factorization.

82972665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 82972665600 in words is "eighty-two billion, nine hundred seventy-two million, six hundred sixty-five thousand, six hundred".