57281261856 has 576 divisors, whose sum is σ = 194596577280. Its totient is φ = 14617774080.

The previous prime is 57281261837. The next prime is 57281261861. The reversal of 57281261856 is 65816218275.

It is a super-2 number, since 2×57281261856² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57281261799 and 57281261808.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343001485 + ... + 343001651.

It is an arithmetic number, because the mean of its divisors is an integer number (337841280).

Almost surely, 2^57281261856 is an apocalyptic number.

57281261856 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 57281261856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97298288640).

57281261856 is an abundant number, since it is smaller than the sum of its proper divisors (137315315424).

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

57281261856 is a wasteful number, since it uses less digits than its factorization.

57281261856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 57281261856 in words is "fifty-seven billion, two hundred eighty-one million, two hundred sixty-one thousand, eight hundred fifty-six".