57220214400 has 240 divisors, whose sum is σ = 211156130790. Its totient is φ = 15258654720.

The previous prime is 57220214357. The next prime is 57220214461. The reversal of 57220214400 is 441202275.

57220214400 is a `hidden beast` number, since 57 + 2 + 202 + 1 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 48445770816 + 8774443584 = 220104^2 + 93672^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 148822 + ... + 369578.

Almost surely, 2^57220214400 is an apocalyptic number.

57220214400 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 57220214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105578065395).

57220214400 is an abundant number, since it is smaller than the sum of its proper divisors (153935916390).

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

57220214400 is a wasteful number, since it uses less digits than its factorization.

57220214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220793 (or 220767 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 57220214400 its reverse (441202275), we get a palindrome (57661416675).

The spelling of 57220214400 in words is "fifty-seven billion, two hundred twenty million, two hundred fourteen thousand, four hundred".