57582056448 has 132 divisors (see below), whose sum is σ = 190019571040. Its totient is φ = 16451997696.

The previous prime is 57582056443. The next prime is 57582056449. The reversal of 57582056448 is 84465028575.

57582056448 is a `hidden beast` number, since 5 + 7 + 58 + 20 + 564 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57582056394 and 57582056403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57582056443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381778 + ... + 510801.

Almost surely, 2^57582056448 is an apocalyptic number.

It is an amenable number.

57582056448 is an abundant number, since it is smaller than the sum of its proper divisors (132437514592).

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

57582056448 is a wasteful number, since it uses less digits than its factorization.

57582056448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892612 (or 892591 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 57582056448 in words is "fifty-seven billion, five hundred eighty-two million, fifty-six thousand, four hundred forty-eight".