1057886303296 has 63 divisors (see below), whose sum is σ = 2126212578021. Its totient is φ = 522232982784.

The previous prime is 1057886303281. The next prime is 1057886303317. The reversal of 1057886303296 is 6923036887501.

The square root of 1057886303296 is 1028536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 357919813696 + 699966489600 = 598264^2 + 836640^2 .

It is a super-2 number, since 2×1057886303296² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057886303296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 682947130 + ... + 682948678.

Almost surely, 2^{1057886303296} is an apocalyptic number.

1057886303296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1057886303296 is the 1028536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057886303296

1057886303296 is an abundant number, since it is smaller than the sum of its proper divisors (1068326274725).

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

1057886303296 is an frugal number, since it uses more digits than its factorization.

1057886303296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 1057886303296 in words is "one trillion, fifty-seven billion, eight hundred eighty-six million, three hundred three thousand, two hundred ninety-six".