53628825600 has 1248 divisors, whose sum is σ = 239863933440. Its totient is φ = 11466178560.

The previous prime is 53628825599. The next prime is 53628825619. The reversal of 53628825600 is 652882635.

53628825600 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 8 + 82 + 560 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 329011119 + ... + 329011281.

Almost surely, 2^53628825600 is an apocalyptic number.

53628825600 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 53628825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119931966720).

53628825600 is an abundant number, since it is smaller than the sum of its proper divisors (186235107840).

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

53628825600 is a wasteful number, since it uses less digits than its factorization.

53628825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 53628825600 in words is "fifty-three billion, six hundred twenty-eight million, eight hundred twenty-five thousand, six hundred".