57855233587200 has 1728 divisors, whose sum is σ = 226929693070080. Its totient is φ = 13000416952320.

The previous prime is 57855233587157. The next prime is 57855233587211. The reversal of 57855233587200 is 278533255875.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 188453529447 + ... + 188453529753.

It is an arithmetic number, because the mean of its divisors is an integer number (131325053860).

Almost surely, 2^{57855233587200} is an apocalyptic number.

57855233587200 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 57855233587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113464846535040).

57855233587200 is an abundant number, since it is smaller than the sum of its proper divisors (169074459482880).

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

57855233587200 is an frugal number, since it uses more digits than its factorization.

57855233587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 60.

The spelling of 57855233587200 in words is "fifty-seven trillion, eight hundred fifty-five billion, two hundred thirty-three million, five hundred eighty-seven thousand, two hundred".