1057609886256 has 800 divisors, whose sum is σ = 4038836736000. Its totient is φ = 258845621760.

The previous prime is 1057609886243. The next prime is 1057609886279. The reversal of 1057609886256 is 6526889067501.

1057609886256 is a `hidden beast` number, since 1 + 0 + 576 + 0 + 9 + 8 + 8 + 6 + 2 + 56 = 666.

It is a super-2 number, since 2×1057609886256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1057609886193 and 1057609886202.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 377312151 + ... + 377314953.

It is an arithmetic number, because the mean of its divisors is an integer number (5048545920).

Almost surely, 2^{1057609886256} is an apocalyptic number.

1057609886256 is a gapful number since it is divisible by the number (16) 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 1057609886256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019418368000).

1057609886256 is an abundant number, since it is smaller than the sum of its proper divisors (2981226849744).

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

1057609886256 is a wasteful number, since it uses less digits than its factorization.

1057609886256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 1057609886256 in words is "one trillion, fifty-seven billion, six hundred nine million, eight hundred eighty-six thousand, two hundred fifty-six".