57493399219200 has 396 divisors, whose sum is σ = 235261228054320. Its totient is φ = 13141348024320.

The previous prime is 57493399219189. The next prime is 57493399219247. The reversal of 57493399219200 is 291299339475.

57493399219200 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 3 + 399 + 219 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16211295 + ... + 19436894.

Almost surely, 2^{57493399219200} is an apocalyptic number.

57493399219200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57493399219200 is an abundant number, since it is smaller than the sum of its proper divisors (177767828835120).

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

57493399219200 is a wasteful number, since it uses less digits than its factorization.

57493399219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35648232 (or 35648206 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 57493399219200 in words is "fifty-seven trillion, four hundred ninety-three billion, three hundred ninety-nine million, two hundred nineteen thousand, two hundred".