9977172960 has 192 divisors, whose sum is σ = 31876794432. Its totient is φ = 2622898176.

The previous prime is 9977172937. The next prime is 9977172979. The reversal of 9977172960 is 692717799.

9977172960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9977172960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11376042 + ... + 11376918.

It is an arithmetic number, because the mean of its divisors is an integer number (166024971).

Almost surely, 2^9977172960 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 9977172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15938397216).

9977172960 is an abundant number, since it is smaller than the sum of its proper divisors (21899621472).

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

9977172960 is a wasteful number, since it uses less digits than its factorization.

9977172960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 57.

The square root of 9977172960 is about 99885.7995913333. The cubic root of 9977172960 is about 2152.7941288645.

The spelling of 9977172960 in words is "nine billion, nine hundred seventy-seven million, one hundred seventy-two thousand, nine hundred sixty".