57022574400 has 1008 divisors, whose sum is σ = 233876697600. Its totient is φ = 13548902400.

The previous prime is 57022574363. The next prime is 57022574419. The reversal of 57022574400 is 447522075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 286545501 + ... + 286545699.

Almost surely, 2^57022574400 is an apocalyptic number.

57022574400 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 57022574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116938348800).

57022574400 is an abundant number, since it is smaller than the sum of its proper divisors (176854123200).

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

57022574400 is a wasteful number, since it uses less digits than its factorization.

57022574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

Adding to 57022574400 its sum of digits (36), we get a square (57022574436 = 238794²).

The spelling of 57022574400 in words is "fifty-seven billion, twenty-two million, five hundred seventy-four thousand, four hundred".