57314821200 has 480 divisors, whose sum is σ = 233270403072. Its totient is φ = 11702016000.

The previous prime is 57314821171. The next prime is 57314821253. The reversal of 57314821200 is 212841375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3376735 + ... + 3393665.

Almost surely, 2^57314821200 is an apocalyptic number.

57314821200 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 57314821200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116635201536).

57314821200 is an abundant number, since it is smaller than the sum of its proper divisors (175955581872).

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

57314821200 is a wasteful number, since it uses less digits than its factorization.

With its successor (57314821201) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (16992).

57314821200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17003 (or 16992 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 57314821200 in words is "fifty-seven billion, three hundred fourteen million, eight hundred twenty-one thousand, two hundred".