57275973216 has 576 divisors, whose sum is σ = 209227898880. Its totient is φ = 14431841280.

The previous prime is 57275973203. The next prime is 57275973217. The reversal of 57275973216 is 61237957275.

57275973216 is a `hidden beast` number, since 5 + 7 + 2 + 7 + 597 + 32 + 16 = 666.

It is a super-3 number, since 3×57275973216³ (a number of 33 digits) contains 333 as substring.

Its product of digits (5556600) is a multiple of the sum of its prime factors (567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57275973217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186566535 + ... + 186566841.

It is an arithmetic number, because the mean of its divisors is an integer number (363242880).

Almost surely, 2^57275973216 is an apocalyptic number.

57275973216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57275973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

57275973216 is an abundant number, since it is smaller than the sum of its proper divisors (151951925664).

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

57275973216 is a wasteful number, since it uses less digits than its factorization.

57275973216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 57275973216 in words is "fifty-seven billion, two hundred seventy-five million, nine hundred seventy-three thousand, two hundred sixteen".