57549168313728 has 256 divisors, whose sum is σ = 188601562329600. Its totient is φ = 15140689330176.

The previous prime is 57549168313727. The next prime is 57549168313757. The reversal of 57549168313728 is 82731386194575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57549168313727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12278775 + ... + 16305417.

It is an arithmetic number, because the mean of its divisors is an integer number (736724852850).

Almost surely, 2^{57549168313728} 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 57549168313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94300781164800).

57549168313728 is an abundant number, since it is smaller than the sum of its proper divisors (131052394015872).

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

57549168313728 is a wasteful number, since it uses less digits than its factorization.

57549168313728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027089 (or 4027077 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 69.

The spelling of 57549168313728 in words is "fifty-seven trillion, five hundred forty-nine billion, one hundred sixty-eight million, three hundred thirteen thousand, seven hundred twenty-eight".