57055986187200 has 6720 divisors, whose sum is σ = 305906656720896. Its totient is φ = 10032906240000.

The previous prime is 57055986187181. The next prime is 57055986187259. The reversal of 57055986187200 is 278168955075.

57055986187200 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 5 + 9 + 8 + 618 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 90421530885 + ... + 90421531515.

Almost surely, 2^{57055986187200} is an apocalyptic number.

57055986187200 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 57055986187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152953328360448).

57055986187200 is an abundant number, since it is smaller than the sum of its proper divisors (248850670533696).

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

57055986187200 is a wasteful number, since it uses less digits than its factorization.

57055986187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 57055986187200 in words is "fifty-seven trillion, fifty-five billion, nine hundred eighty-six million, one hundred eighty-seven thousand, two hundred".