57052706256 has 360 divisors, whose sum is σ = 200609050824. Its totient is φ = 15002910720.

The previous prime is 57052706237. The next prime is 57052706279. The reversal of 57052706256 is 65260725075.

57052706256 is a `hidden beast` number, since 5 + 70 + 527 + 0 + 6 + 2 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2756250000 + 54296456256 = 52500^2 + 233016^2 .

It is a super-2 number, since 2×57052706256² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41919016 + ... + 41920376.

Almost surely, 2^57052706256 is an apocalyptic number.

57052706256 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 57052706256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100304525412).

57052706256 is an abundant number, since it is smaller than the sum of its proper divisors (143556344568).

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

57052706256 is a wasteful number, since it uses less digits than its factorization.

57052706256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 57052706256 in words is "fifty-seven billion, fifty-two million, seven hundred six thousand, two hundred fifty-six".