53127057600 has 420 divisors, whose sum is σ = 197791730400. Its totient is φ = 13985187840.

The previous prime is 53127057593. The next prime is 53127057671. The reversal of 53127057600 is 675072135.

53127057600 is a `hidden beast` number, since 5 + 3 + 12 + 70 + 576 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10235806 + ... + 10240994.

Almost surely, 2^53127057600 is an apocalyptic number.

53127057600 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 53127057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98895865200).

53127057600 is an abundant number, since it is smaller than the sum of its proper divisors (144664672800).

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

53127057600 is a wasteful number, since it uses less digits than its factorization.

53127057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 53127057600 in words is "fifty-three billion, one hundred twenty-seven million, fifty-seven thousand, six hundred".