972055026880 has 112 divisors (see below), whose sum is σ = 2652874470720. Its totient is φ = 332331614208.

The previous prime is 972055026827. The next prime is 972055026881. The reversal of 972055026880 is 88620550279.

972055026880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (972055026881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176056 + ... + 1405384.

Almost surely, 2^972055026880 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 972055026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326437235360).

972055026880 is an abundant number, since it is smaller than the sum of its proper divisors (1680819443840).

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

972055026880 is a wasteful number, since it uses less digits than its factorization.

972055026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229706 (or 1229696 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 972055026880 in words is "nine hundred seventy-two billion, fifty-five million, twenty-six thousand, eight hundred eighty".