57506053752 has 384 divisors, whose sum is σ = 194344550400. Its totient is φ = 14990572800.

The previous prime is 57506053751. The next prime is 57506053777. The reversal of 57506053752 is 25735060575.

57506053752 is a `hidden beast` number, since 5 + 7 + 5 + 0 + 60 + 537 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57506053698 and 57506053707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57506053751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91134477 + ... + 91135107.

It is an arithmetic number, because the mean of its divisors is an integer number (506105600).

Almost surely, 2^57506053752 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 57506053752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97172275200).

57506053752 is an abundant number, since it is smaller than the sum of its proper divisors (136838496648).

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

57506053752 is a wasteful number, since it uses less digits than its factorization.

57506053752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 57506053752 in words is "fifty-seven billion, five hundred six million, fifty-three thousand, seven hundred fifty-two".