53625600 has 486 divisors, whose sum is σ = 234763620. Its totient is φ = 11612160.

The previous prime is 53625587. The next prime is 53625613. The reversal of 53625600 is 652635.

53625600 is a `hidden beast` number, since 5 + 36 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (53625587) and next prime (53625613).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822391 + ... + 2822409.

Almost surely, 2^53625600 is an apocalyptic number.

53625600 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 53625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117381810).

53625600 is an abundant number, since it is smaller than the sum of its proper divisors (181138020).

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

53625600 is a wasteful number, since it uses less digits than its factorization.

53625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53625600 is about 7322.9502251483. The cubic root of 53625600 is about 377.1007430346.

The spelling of 53625600 in words is "fifty-three million, six hundred twenty-five thousand, six hundred".