57729666816 has 180 divisors, whose sum is σ = 173386490200. Its totient is φ = 19103827968.

The previous prime is 57729666809. The next prime is 57729666821. The reversal of 57729666816 is 61866692775.

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 19 ways as a sum of consecutive naturals, for example, 2872290 + ... + 2892318.

Almost surely, 2^57729666816 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 57729666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86693245100).

57729666816 is an abundant number, since it is smaller than the sum of its proper divisors (115656823384).

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

57729666816 is a wasteful number, since it uses less digits than its factorization.

57729666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20196 (or 20173 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 57729666816 in words is "fifty-seven billion, seven hundred twenty-nine million, six hundred sixty-six thousand, eight hundred sixteen".