57352724784 has 160 divisors (see below), whose sum is σ = 166348728000. Its totient is φ = 18918236160.

The previous prime is 57352724749. The next prime is 57352724789. The reversal of 57352724784 is 48742725375.

It is a happy number.

57352724784 is a `hidden beast` number, since 5 + 73 + 527 + 2 + 47 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57352724784.

It is not an unprimeable number, because it can be changed into a prime (57352724789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18858304 + ... + 18861344.

It is an arithmetic number, because the mean of its divisors is an integer number (1039679550).

Almost surely, 2^57352724784 is an apocalyptic number.

57352724784 is a gapful number since it is divisible by the number (54) 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 57352724784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364000).

57352724784 is an abundant number, since it is smaller than the sum of its proper divisors (108996003216).

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

57352724784 is a wasteful number, since it uses less digits than its factorization.

57352724784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3488 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 54.

The spelling of 57352724784 in words is "fifty-seven billion, three hundred fifty-two million, seven hundred twenty-four thousand, seven hundred eighty-four".