9953625600 has 480 divisors, whose sum is σ = 37081376640. Its totient is φ = 2614763520.

The previous prime is 9953625599. The next prime is 9953625611. The reversal of 9953625600 is 65263599.

9953625600 is a `hidden beast` number, since 9 + 9 + 5 + 36 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28684627 + ... + 28684973.

It is an arithmetic number, because the mean of its divisors is an integer number (77252868).

Almost surely, 2^9953625600 is an apocalyptic number.

9953625600 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 9953625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18540688320).

9953625600 is an abundant number, since it is smaller than the sum of its proper divisors (27127751040).

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

9953625600 is a wasteful number, since it uses less digits than its factorization.

9953625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 9953625600 is about 99767.8585517400. The cubic root of 9953625600 is about 2151.0991747523.

The spelling of 9953625600 in words is "nine billion, nine hundred fifty-three million, six hundred twenty-five thousand, six hundred".