9954956160 has 256 divisors, whose sum is σ = 35658792000. Its totient is φ = 2624421888.

The previous prime is 9954956147. The next prime is 9954956161. The reversal of 9954956160 is 616594599.

9954956160 is a `hidden beast` number, since 9 + 95 + 495 + 6 + 1 + 60 = 666.

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 = 9954956097 and 9954956106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9954956161) 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 31 ways as a sum of consecutive naturals, for example, 1534684 + ... + 1541156.

Almost surely, 2^9954956160 is an apocalyptic number.

9954956160 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 9954956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829396000).

9954956160 is an abundant number, since it is smaller than the sum of its proper divisors (25703835840).

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

9954956160 is a wasteful number, since it uses less digits than its factorization.

9954956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 9954956160 is about 99774.5266087492. The cubic root of 9954956160 is about 2151.1950205311.

The spelling of 9954956160 in words is "nine billion, nine hundred fifty-four million, nine hundred fifty-six thousand, one hundred sixty".