57200062863384 has 256 divisors, whose sum is σ = 183108789964800. Its totient is φ = 16206214662144.

The previous prime is 57200062863341. The next prime is 57200062863389. The reversal of 57200062863384 is 48336826000275.

57200062863384 is a `hidden beast` number, since 5 + 7 + 2 + 0 + 0 + 0 + 628 + 6 + 3 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 57200062863384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57200062863389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193946577 + ... + 194241279.

It is an arithmetic number, because the mean of its divisors is an integer number (715268710800).

Almost surely, 2^{57200062863384} is an apocalyptic number.

57200062863384 is a gapful number since it is divisible by the number (54) 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 57200062863384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91554394982400).

57200062863384 is an abundant number, since it is smaller than the sum of its proper divisors (125908727101416).

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

57200062863384 is a wasteful number, since it uses less digits than its factorization.

57200062863384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295799 (or 295789 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 57200062863384 in words is "fifty-seven trillion, two hundred billion, sixty-two million, eight hundred sixty-three thousand, three hundred eighty-four".