9972088992 has 36 divisors (see below), whose sum is σ = 28358128890. Its totient is φ = 3324029568.

The previous prime is 9972088981. The next prime is 9972088999. The reversal of 9972088992 is 2998802799.

It can be written as a sum of positive squares in only one way, i.e., 6672275856 + 3299813136 = 81684^2 + 57444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (9972088999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17312367 + ... + 17312942.

Almost surely, 2^9972088992 is an apocalyptic number.

It is an amenable number.

9972088992 is an abundant number, since it is smaller than the sum of its proper divisors (18386039898).

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

9972088992 is a wasteful number, since it uses less digits than its factorization.

9972088992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34625325 (or 34625314 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The square root of 9972088992 is about 99860.3474458206. The cubic root of 9972088992 is about 2152.4284074980.

The spelling of 9972088992 in words is "nine billion, nine hundred seventy-two million, eighty-eight thousand, nine hundred ninety-two".