9977990520960 has 5120 divisors, whose sum is σ = 50672894976000. Its totient is φ = 1805923123200.

The previous prime is 9977990520893. The next prime is 9977990520991. The reversal of 9977990520960 is 690250997799.

9977990520960 is a `hidden beast` number, since 9 + 9 + 7 + 7 + 9 + 9 + 0 + 520 + 96 + 0 = 666.

It is a super-2 number, since 2×9977990520960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 91541197386 + ... + 91541197494.

It is an arithmetic number, because the mean of its divisors is an integer number (9897049800).

Almost surely, 2^{9977990520960} is an apocalyptic number.

9977990520960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977990520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336447488000).

9977990520960 is an abundant number, since it is smaller than the sum of its proper divisors (40694904455040).

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

9977990520960 is a wasteful number, since it uses less digits than its factorization.

9977990520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 173604060, while the sum is 72.

The spelling of 9977990520960 in words is "nine trillion, nine hundred seventy-seven billion, nine hundred ninety million, five hundred twenty thousand, nine hundred sixty".