57257240544 has 144 divisors (see below), whose sum is σ = 195880164480. Its totient is φ = 15498190080.

The previous prime is 57257240539. The next prime is 57257240549. The reversal of 57257240544 is 44504275275.

57257240544 is a `hidden beast` number, since 5 + 72 + 572 + 4 + 0 + 5 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57257240539) and next prime (57257240549).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 57257240544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57257240549) 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 23 ways as a sum of consecutive naturals, for example, 709102 + ... + 785709.

It is an arithmetic number, because the mean of its divisors is an integer number (1360278920).

Almost surely, 2^57257240544 is an apocalyptic number.

It is an amenable number.

57257240544 is an abundant number, since it is smaller than the sum of its proper divisors (138622923936).

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

57257240544 is a wasteful number, since it uses less digits than its factorization.

57257240544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494853 (or 1494842 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 57257240544 in words is "fifty-seven billion, two hundred fifty-seven million, two hundred forty thousand, five hundred forty-four".