57320222400 has 1344 divisors, whose sum is σ = 252774297600. Its totient is φ = 12361973760.

The previous prime is 57320222341. The next prime is 57320222419. The reversal of 57320222400 is 422202375.

57320222400 is a `hidden beast` number, since 5 + 7 + 32 + 0 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 525873546 + ... + 525873654.

Almost surely, 2^57320222400 is an apocalyptic number.

57320222400 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 57320222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126387148800).

57320222400 is an abundant number, since it is smaller than the sum of its proper divisors (195454075200).

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

57320222400 is a wasteful number, since it uses less digits than its factorization.

57320222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 57320222400 its reverse (422202375), we get a palindrome (57742424775).

The spelling of 57320222400 in words is "fifty-seven billion, three hundred twenty million, two hundred twenty-two thousand, four hundred".