57134831040 has 504 divisors, whose sum is σ = 232948703520. Its totient is φ = 12811309056.

The previous prime is 57134831027. The next prime is 57134831071. The reversal of 57134831040 is 4013843175.

It is a happy number.

57134831040 is a `hidden beast` number, since 5 + 71 + 3 + 483 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 57134830986 and 57134831004.

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, 7475541 + ... + 7483179.

Almost surely, 2^57134831040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57134831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116474351760).

57134831040 is an abundant number, since it is smaller than the sum of its proper divisors (175813872480).

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

57134831040 is a wasteful number, since it uses less digits than its factorization.

57134831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7729 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 57134831040 in words is "fifty-seven billion, one hundred thirty-four million, eight hundred thirty-one thousand, forty".