9957586320 has 240 divisors, whose sum is σ = 37080823104. Its totient is φ = 2374272000.

The previous prime is 9957586271. The next prime is 9957586321. The reversal of 9957586320 is 236857599.

9957586320 is a `hidden beast` number, since 9 + 9 + 57 + 586 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9957586320² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9957586321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472815 + ... + 493425.

Almost surely, 2^9957586320 is an apocalyptic number.

9957586320 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 9957586320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540411552).

9957586320 is an abundant number, since it is smaller than the sum of its proper divisors (27123236784).

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

9957586320 is a wasteful number, since it uses less digits than its factorization.

9957586320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20702 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 9957586320 is about 99787.7062568331. The cubic root of 9957586320 is about 2151.3844567873.

The spelling of 9957586320 in words is "nine billion, nine hundred fifty-seven million, five hundred eighty-six thousand, three hundred twenty".