57035969856 has 280 divisors, whose sum is σ = 174455404200. Its totient is φ = 18413568000.

The previous prime is 57035969843. The next prime is 57035969929. The reversal of 57035969856 is 65896953075.

57035969856 is a `hidden beast` number, since 570 + 3 + 5 + 9 + 6 + 9 + 8 + 56 = 666.

57035969856 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 4 ways, for example, as 5499705600 + 51536264256 = 74160^2 + 227016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57035969793 and 57035969802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31668156 + ... + 31669956.

It is an arithmetic number, because the mean of its divisors is an integer number (623055015).

Almost surely, 2^57035969856 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 57035969856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87227702100).

57035969856 is an abundant number, since it is smaller than the sum of its proper divisors (117419434344).

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

57035969856 is a wasteful number, since it uses less digits than its factorization.

57035969856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 57035969856 in words is "fifty-seven billion, thirty-five million, nine hundred sixty-nine thousand, eight hundred fifty-six".