82972992960 has 1344 divisors, whose sum is σ = 354889027584. Its totient is φ = 17517772800.

The previous prime is 82972992953. The next prime is 82972992983. The reversal of 82972992960 is 6929927928.

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, 855391632 + ... + 855391728.

It is an arithmetic number, because the mean of its divisors is an integer number (264054336).

Almost surely, 2^82972992960 is an apocalyptic number.

82972992960 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 82972992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177444513792).

82972992960 is an abundant number, since it is smaller than the sum of its proper divisors (271916034624).

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

82972992960 is a wasteful number, since it uses less digits than its factorization.

82972992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 82972992960 in words is "eighty-two billion, nine hundred seventy-two million, nine hundred ninety-two thousand, nine hundred sixty".