57840604171200 has 504 divisors, whose sum is σ = 221677190345520. Its totient is φ = 14255961292800.

The previous prime is 57840604171199. The next prime is 57840604171223. The reversal of 57840604171200 is 217140604875.

57840604171200 is a `hidden beast` number, since 5 + 7 + 8 + 4 + 0 + 604 + 17 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 8639482 + ... + 13795718.

It is an arithmetic number, because the mean of its divisors is an integer number (439835695130).

Almost surely, 2^{57840604171200} is an apocalyptic number.

57840604171200 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 57840604171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110838595172760).

57840604171200 is an abundant number, since it is smaller than the sum of its proper divisors (163836586174320).

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

57840604171200 is a wasteful number, since it uses less digits than its factorization.

57840604171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156325 (or 5156307 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 57840604171200 in words is "fifty-seven trillion, eight hundred forty billion, six hundred four million, one hundred seventy-one thousand, two hundred".