57134117260800 has 540 divisors, whose sum is σ = 215795215967760. Its totient is φ = 14433871749120.

The previous prime is 57134117260799. The next prime is 57134117260811. The reversal of 57134117260800 is 806271143175.

57134117260800 is a `hidden beast` number, since 5 + 7 + 1 + 34 + 1 + 1 + 7 + 2 + 608 + 0 + 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 53 ways as a sum of consecutive naturals, for example, 40900281 + ... + 42274119.

Almost surely, 2^{57134117260800} is an apocalyptic number.

57134117260800 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 57134117260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107897607983880).

57134117260800 is an abundant number, since it is smaller than the sum of its proper divisors (158661098706960).

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

57134117260800 is a wasteful number, since it uses less digits than its factorization.

57134117260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373911 (or 1373868 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 57134117260800 in words is "fifty-seven trillion, one hundred thirty-four billion, one hundred seventeen million, two hundred sixty thousand, eight hundred".