57755583648 has 144 divisors (see below), whose sum is σ = 187855799040. Its totient is φ = 16488396288.

The previous prime is 57755583593. The next prime is 57755583649. The reversal of 57755583648 is 84638555775.

57755583648 is a `hidden beast` number, since 5 + 7 + 7 + 5 + 5 + 583 + 6 + 48 = 666.

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

It is a super-2 number, since 2×57755583648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57755583649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2664438 + ... + 2686026.

It is an arithmetic number, because the mean of its divisors is an integer number (1304554160).

Almost surely, 2^57755583648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57755583648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93927899520).

57755583648 is an abundant number, since it is smaller than the sum of its proper divisors (130100215392).

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

57755583648 is a wasteful number, since it uses less digits than its factorization.

57755583648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22939 (or 22928 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 63.

The spelling of 57755583648 in words is "fifty-seven billion, seven hundred fifty-five million, five hundred eighty-three thousand, six hundred forty-eight".