57941437680 has 360 divisors, whose sum is σ = 229232203200. Its totient is φ = 13075485696.

The previous prime is 57941437607. The next prime is 57941437693. The reversal of 57941437680 is 8673414975.

57941437680 is a `hidden beast` number, since 579 + 4 + 1 + 4 + 3 + 7 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 2776726 + ... + 2797514.

It is an arithmetic number, because the mean of its divisors is an integer number (636756120).

Almost surely, 2^57941437680 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 57941437680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114616101600).

57941437680 is an abundant number, since it is smaller than the sum of its proper divisors (171290765520).

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

57941437680 is a wasteful number, since it uses less digits than its factorization.

57941437680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20901 (or 20885 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 57941437680 in words is "fifty-seven billion, nine hundred forty-one million, four hundred thirty-seven thousand, six hundred eighty".