9972291808320 has 112 divisors (see below), whose sum is σ = 31666592300928. Its totient is φ = 2658894336000.

The previous prime is 9972291808301. The next prime is 9972291808333. The reversal of 9972291808320 is 238081922799.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5942820 + ... + 7433820.

Almost surely, 2^{9972291808320} is an apocalyptic number.

It is an amenable number.

9972291808320 is an abundant number, since it is smaller than the sum of its proper divisors (21694300492608).

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

9972291808320 is a wasteful number, since it uses less digits than its factorization.

9972291808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497988 (or 1497978 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 9972291808320 in words is "nine trillion, nine hundred seventy-two billion, two hundred ninety-one million, eight hundred eight thousand, three hundred twenty".