57106077504840 has 960 divisors, whose sum is σ = 233383766419440. Its totient is φ = 12037675991040.

The previous prime is 57106077504821. The next prime is 57106077504851. The reversal of 57106077504840 is 4840577060175.

57106077504840 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 60 + 77 + 504 + 8 + 4 + 0 = 666.

57106077504840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 30157956123876 + 26948121380964 = 5491626^2 + 5191158^2 .

It is a super-2 number, since 2×57106077504840² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19338324804 + ... + 19338327756.

Almost surely, 2^{57106077504840} 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 57106077504840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116691883209720).

57106077504840 is an abundant number, since it is smaller than the sum of its proper divisors (176277688914600).

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

57106077504840 is a wasteful number, since it uses less digits than its factorization.

57106077504840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 57106077504840 in words is "fifty-seven trillion, one hundred six billion, seventy-seven million, five hundred four thousand, eight hundred forty".