57424777742475 has 288 divisors, whose sum is σ = 121625781076800. Its totient is φ = 25684720588800.

The previous prime is 57424777742443. The next prime is 57424777742531.

57424777742475 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 47 + 7 + 77 + 42 + 475 = 666.

57424777742475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57424777742475 - 2⁵ = 57424777742443 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16144158397 + ... + 16144161953.

It is an arithmetic number, because the mean of its divisors is an integer number (422311739850).

Almost surely, 2^{57424777742475} is an apocalyptic number.

57424777742475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57424777742475 is an abundant number, since it is smaller than the sum of its proper divisors (64201003334325).

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

57424777742475 is a wasteful number, since it uses less digits than its factorization.

57424777742475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6558 counting only the distinct ones).

The product of its digits is 3011814400, while the sum is 72.

The spelling of 57424777742475 in words is "fifty-seven trillion, four hundred twenty-four billion, seven hundred seventy-seven million, seven hundred forty-two thousand, four hundred seventy-five".