57853938816 has 192 divisors, whose sum is σ = 171307106880. Its totient is φ = 18727593984.

The previous prime is 57853938719. The next prime is 57853938817. The reversal of 57853938816 is 61883935875.

57853938816 is a `hidden beast` number, since 5 + 7 + 8 + 539 + 3 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (57853938817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30986715 + ... + 30988581.

It is an arithmetic number, because the mean of its divisors is an integer number (892224515).

Almost surely, 2^57853938816 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 57853938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85653553440).

57853938816 is an abundant number, since it is smaller than the sum of its proper divisors (113453168064).

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

57853938816 is a wasteful number, since it uses less digits than its factorization.

57853938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2636 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 57853938816 in words is "fifty-seven billion, eight hundred fifty-three million, nine hundred thirty-eight thousand, eight hundred sixteen".