9717977052960 has 384 divisors, whose sum is σ = 34237731483648. Its totient is φ = 2296482816000.

The previous prime is 9717977052809. The next prime is 9717977052989. The reversal of 9717977052960 is 692507797179.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266468647 + ... + 266505113.

It is an arithmetic number, because the mean of its divisors is an integer number (89160759072).

Almost surely, 2^{9717977052960} 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 9717977052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17118865741824).

9717977052960 is an abundant number, since it is smaller than the sum of its proper divisors (24519754430688).

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

9717977052960 is a wasteful number, since it uses less digits than its factorization.

9717977052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37768 (or 37760 counting only the distinct ones).

The product of its (nonzero) digits is 105019740, while the sum is 69.

The spelling of 9717977052960 in words is "nine trillion, seven hundred seventeen billion, nine hundred seventy-seven million, fifty-two thousand, nine hundred sixty".