57129561351072 has 1152 divisors, whose sum is σ = 206071648473600. Its totient is φ = 14946057584640.

The previous prime is 57129561351029. The next prime is 57129561351097. The reversal of 57129561351072 is 27015316592175.

It is a happy number.

57129561351072 is a `hidden beast` number, since 5 + 7 + 1 + 2 + 9 + 5 + 613 + 5 + 10 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30501633528 + ... + 30501635400.

It is an arithmetic number, because the mean of its divisors is an integer number (178881639300).

Almost surely, 2^{57129561351072} 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 57129561351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103035824236800).

57129561351072 is an abundant number, since it is smaller than the sum of its proper divisors (148942087122528).

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

57129561351072 is a wasteful number, since it uses less digits than its factorization.

57129561351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 57129561351072 in words is "fifty-seven trillion, one hundred twenty-nine billion, five hundred sixty-one million, three hundred fifty-one thousand, seventy-two".