57782894400 has 1344 divisors, whose sum is σ = 272125440000. Its totient is φ = 11573452800.

The previous prime is 57782894329. The next prime is 57782894401. The reversal of 57782894400 is 449828775.

It is a happy number.

57782894400 is a `hidden beast` number, since 5 + 77 + 82 + 8 + 94 + 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57782894401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96465301 + ... + 96465899.

Almost surely, 2^57782894400 is an apocalyptic number.

57782894400 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 57782894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720000).

57782894400 is an abundant number, since it is smaller than the sum of its proper divisors (214342545600).

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

57782894400 is a wasteful number, since it uses less digits than its factorization.

57782894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 57782894400 in words is "fifty-seven billion, seven hundred eighty-two million, eight hundred ninety-four thousand, four hundred".