57558048768 has 448 divisors, whose sum is σ = 190902579840. Its totient is φ = 16986931200.

The previous prime is 57558048749. The next prime is 57558048773. The reversal of 57558048768 is 86784085575.

57558048768 is a `hidden beast` number, since 5 + 7 + 5 + 580 + 48 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99753696 + ... + 99754272.

It is an arithmetic number, because the mean of its divisors is an integer number (426121830).

Almost surely, 2^57558048768 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 57558048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95451289920).

57558048768 is an abundant number, since it is smaller than the sum of its proper divisors (133344531072).

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

57558048768 is a wasteful number, since it uses less digits than its factorization.

57558048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 63.

The spelling of 57558048768 in words is "fifty-seven billion, five hundred fifty-eight million, forty-eight thousand, seven hundred sixty-eight".