9957926160 has 720 divisors, whose sum is σ = 43017496704. Its totient is φ = 2096160768.

The previous prime is 9957926159. The next prime is 9957926161. The reversal of 9957926160 is 616297599.

9957926160 is a `hidden beast` number, since 9 + 9 + 579 + 2 + 6 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9957926159) and next prime (9957926161).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9957926097 and 9957926106.

It is not an unprimeable number, because it can be changed into a prime (9957926161) 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 143 ways as a sum of consecutive naturals, for example, 22997304 + ... + 22997736.

Almost surely, 2^9957926160 is an apocalyptic number.

9957926160 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 9957926160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508748352).

9957926160 is an abundant number, since it is smaller than the sum of its proper divisors (33059570544).

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

9957926160 is a wasteful number, since it uses less digits than its factorization.

9957926160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 9957926160 is about 99789.4090572742. The cubic root of 9957926160 is about 2151.4089311982.

The spelling of 9957926160 in words is "nine billion, nine hundred fifty-seven million, nine hundred twenty-six thousand, one hundred sixty".