53625326400 has 672 divisors, whose sum is σ = 208629504000. Its totient is φ = 13359790080.

The previous prime is 53625326393. The next prime is 53625326401. The reversal of 53625326400 is 462352635.

53625326400 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 5 + 3 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53625326401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64842787 + ... + 64843613.

Almost surely, 2^53625326400 is an apocalyptic number.

53625326400 is a gapful number since it is divisible by the number (50) 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 53625326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104314752000).

53625326400 is an abundant number, since it is smaller than the sum of its proper divisors (155004177600).

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

53625326400 is a wasteful number, since it uses less digits than its factorization.

53625326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 53625326400 in words is "fifty-three billion, six hundred twenty-five million, three hundred twenty-six thousand, four hundred".