57171248064 has 448 divisors, whose sum is σ = 214101273600. Its totient is φ = 14563639296.

The previous prime is 57171248059. The next prime is 57171248107. The reversal of 57171248064 is 46084217175.

57171248064 is a `hidden beast` number, since 571 + 7 + 12 + 4 + 8 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3899692 + ... + 3914324.

Almost surely, 2^57171248064 is an apocalyptic number.

57171248064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57171248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107050636800).

57171248064 is an abundant number, since it is smaller than the sum of its proper divisors (156930025536).

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

57171248064 is a wasteful number, since it uses less digits than its factorization.

57171248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14697 (or 14681 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 57171248064 in words is "fifty-seven billion, one hundred seventy-one million, two hundred forty-eight thousand, sixty-four".