972000000000080 has 80 divisors (see below), whose sum is σ = 2470023529519104. Its totient is φ = 354125237176320.

The previous prime is 972000000000079. The next prime is 972000000000143. The reversal of 972000000000080 is 80000000000279.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 971999999999959 and 972000000000049.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11527472072 + ... + 11527556391.

Almost surely, 2^{972000000000080} is an apocalyptic number.

It is an amenable number.

972000000000080 is an abundant number, since it is smaller than the sum of its proper divisors (1498023529519024).

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

972000000000080 is a wasteful number, since it uses less digits than its factorization.

972000000000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23055028524 (or 23055028518 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The spelling of 972000000000080 in words is "nine hundred seventy-two trillion, eighty", and thus it is an aban number.