57195195690240 has 1008 divisors, whose sum is σ = 208883804043600. Its totient is φ = 14996009779200.

The previous prime is 57195195690209. The next prime is 57195195690257. The reversal of 57195195690240 is 4209659159175.

57195195690240 is a `hidden beast` number, since 5 + 7 + 1 + 9 + 519 + 5 + 6 + 90 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2764797421824 + 54430398268416 = 1662768^2 + 7377696^2 .

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 14042520844 + ... + 14042524916.

It is an arithmetic number, because the mean of its divisors is an integer number (207225996075).

Almost surely, 2^{57195195690240} 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 57195195690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104441902021800).

57195195690240 is an abundant number, since it is smaller than the sum of its proper divisors (151688608353360).

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

57195195690240 is a wasteful number, since it uses less digits than its factorization.

57195195690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4333 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 57195195690240 in words is "fifty-seven trillion, one hundred ninety-five billion, one hundred ninety-five million, six hundred ninety thousand, two hundred forty".