9957922560 has 432 divisors, whose sum is σ = 36560946240. Its totient is φ = 2497904640.

The previous prime is 9957922529. The next prime is 9957922577. The reversal of 9957922560 is 652297599.

It is a happy number.

9957922560 is a `hidden beast` number, since 9 + 9 + 5 + 79 + 2 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9957922497 and 9957922506.

It is a congruent number.

It is an unprimeable number.

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, 13696917 + ... + 13697643.

It is an arithmetic number, because the mean of its divisors is an integer number (84631820).

Almost surely, 2^9957922560 is an apocalyptic number.

9957922560 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 9957922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280473120).

9957922560 is an abundant number, since it is smaller than the sum of its proper divisors (26603023680).

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

9957922560 is a wasteful number, since it uses less digits than its factorization.

9957922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 9957922560 is about 99789.3910192862. The cubic root of 9957922560 is about 2151.4086719383.

The spelling of 9957922560 in words is "nine billion, nine hundred fifty-seven million, nine hundred twenty-two thousand, five hundred sixty".