57218701948800 has 576 divisors, whose sum is σ = 223898382800640. Its totient is φ = 12800288256000.

The previous prime is 57218701948763. The next prime is 57218701948831. The reversal of 57218701948800 is 884910781275.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20814775 + ... + 23402825.

It is an arithmetic number, because the mean of its divisors is an integer number (388712470140).

Almost surely, 2^{57218701948800} is an apocalyptic number.

57218701948800 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 57218701948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111949191400320).

57218701948800 is an abundant number, since it is smaller than the sum of its proper divisors (166679680851840).

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

57218701948800 is a wasteful number, since it uses less digits than its factorization.

57218701948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588139 (or 2588115 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 60.

The spelling of 57218701948800 in words is "fifty-seven trillion, two hundred eighteen billion, seven hundred one million, nine hundred forty-eight thousand, eight hundred".