57165108056 has 128 divisors (see below), whose sum is σ = 127212180480. Its totient is φ = 23579652096.

The previous prime is 57165108037. The next prime is 57165108103. The reversal of 57165108056 is 65080156175.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57165107998 and 57165108016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30949325 + ... + 30951171.

It is an arithmetic number, because the mean of its divisors is an integer number (993845160).

Almost surely, 2^57165108056 is an apocalyptic number.

57165108056 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 57165108056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63606090240).

57165108056 is an abundant number, since it is smaller than the sum of its proper divisors (70047072424).

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

57165108056 is a wasteful number, since it uses less digits than its factorization.

57165108056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 57165108056 in words is "fifty-seven billion, one hundred sixty-five million, one hundred eight thousand, fifty-six".