57104186388480 has 1664 divisors, whose sum is σ = 253614119270400. Its totient is φ = 11842014412800.

The previous prime is 57104186388463. The next prime is 57104186388481. The reversal of 57104186388480 is 8488368140175.

It is a happy number.

57104186388480 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 4 + 18 + 63 + 88 + 480 = 666.

It is a super-3 number, since 3×57104186388480³ (a number of 42 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57104186388481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28144004106 + ... + 28144006134.

Almost surely, 2^{57104186388480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57104186388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126807059635200).

57104186388480 is an abundant number, since it is smaller than the sum of its proper divisors (196509932881920).

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

57104186388480 is a wasteful number, since it uses less digits than its factorization.

57104186388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 57104186388480 in words is "fifty-seven trillion, one hundred four billion, one hundred eighty-six million, three hundred eighty-eight thousand, four hundred eighty".