57237359872000 has 1728 divisors, whose sum is σ = 187938288720000. Its totient is φ = 17030356992000.

The previous prime is 57237359871959. The next prime is 57237359872057. The reversal of 57237359872000 is 27895373275.

It is a happy number.

It is a super-2 number, since 2×57237359872000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114704127751 + ... + 114704128249.

It is an arithmetic number, because the mean of its divisors is an integer number (108760583750).

Almost surely, 2^{57237359872000} is an apocalyptic number.

57237359872000 is a gapful number since it is divisible by the number (50) 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 57237359872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93969144360000).

57237359872000 is an abundant number, since it is smaller than the sum of its proper divisors (130700928848000).

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

57237359872000 is a wasteful number, since it uses less digits than its factorization.

57237359872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 58.

The spelling of 57237359872000 in words is "fifty-seven trillion, two hundred thirty-seven billion, three hundred fifty-nine million, eight hundred seventy-two thousand".