57138698419200 has 2112 divisors, whose sum is σ = 225240875328000. Its totient is φ = 14153086402560.

The previous prime is 57138698419193. The next prime is 57138698419211. The reversal of 57138698419200 is 291489683175.

57138698419200 is a `hidden beast` number, since 5 + 7 + 1 + 3 + 8 + 6 + 9 + 8 + 419 + 200 = 666.

It is a congruent number.

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, 206276889462 + ... + 206276889738.

It is a 1-persistent number, because it is pandigital, but 2⋅57138698419200 = 114277396838400 is not.

Almost surely, 2^{57138698419200} is an apocalyptic number.

57138698419200 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 57138698419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112620437664000).

57138698419200 is an abundant number, since it is smaller than the sum of its proper divisors (168102176908800).

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

57138698419200 is a wasteful number, since it uses less digits than its factorization.

57138698419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 57138698419200 in words is "fifty-seven trillion, one hundred thirty-eight billion, six hundred ninety-eight million, four hundred nineteen thousand, two hundred".