57135369600 has 576 divisors, whose sum is σ = 215899462800. Its totient is φ = 14747443200.

The previous prime is 57135369593. The next prime is 57135369617. The reversal of 57135369600 is 696353175.

57135369600 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 5 + 36 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 449884737 + ... + 449884863.

Almost surely, 2^57135369600 is an apocalyptic number.

57135369600 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 57135369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107949731400).

57135369600 is an abundant number, since it is smaller than the sum of its proper divisors (158764093200).

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

57135369600 is a wasteful number, since it uses less digits than its factorization.

57135369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 57135369600 in words is "fifty-seven billion, one hundred thirty-five million, three hundred sixty-nine thousand, six hundred".