57582534144 has 80 divisors (see below), whose sum is σ = 153453584592. Its totient is φ = 19187908608.

The previous prime is 57582534137. The next prime is 57582534161. The reversal of 57582534144 is 44143528575.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 57582534093 and 57582534102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9325042 + ... + 9331214.

Almost surely, 2^57582534144 is an apocalyptic number.

It is an amenable number.

57582534144 is an abundant number, since it is smaller than the sum of its proper divisors (95871050448).

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

57582534144 is an equidigital number, since it uses as much as digits as its factorization.

57582534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12267 (or 12251 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 48.

The spelling of 57582534144 in words is "fifty-seven billion, five hundred eighty-two million, five hundred thirty-four thousand, one hundred forty-four".