57041376768 has 480 divisors, whose sum is σ = 182983600800. Its totient is φ = 17677025280.

The previous prime is 57041376727. The next prime is 57041376797. The reversal of 57041376768 is 86767314075.

57041376768 is a `hidden beast` number, since 570 + 4 + 1 + 3 + 7 + 6 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 315145638 + ... + 315145818.

It is an arithmetic number, because the mean of its divisors is an integer number (381215835).

Almost surely, 2^57041376768 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 57041376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91491800400).

57041376768 is an abundant number, since it is smaller than the sum of its proper divisors (125942224032).

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

57041376768 is a wasteful number, since it uses less digits than its factorization.

57041376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 57041376768 in words is "fifty-seven billion, forty-one million, three hundred seventy-six thousand, seven hundred sixty-eight".