57074063692800 has 3168 divisors, whose sum is σ = 247969990904832. Its totient is φ = 11338702848000.

The previous prime is 57074063692753. The next prime is 57074063692801. The reversal of 57074063692800 is 829636047075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57074063692801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 687639321559 + ... + 687639321641.

Almost surely, 2^{57074063692800} is an apocalyptic number.

57074063692800 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 57074063692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984995452416).

57074063692800 is an abundant number, since it is smaller than the sum of its proper divisors (190895927212032).

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

57074063692800 is a wasteful number, since it uses less digits than its factorization.

57074063692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 57074063692800 in words is "fifty-seven trillion, seventy-four billion, sixty-three million, six hundred ninety-two thousand, eight hundred".