1130853589056 has 189 divisors, whose sum is σ = 3301653905823. Its totient is φ = 370068768000.

The previous prime is 1130853589037. The next prime is 1130853589081. The reversal of 1130853589056 is 6509853580311.

The square root of 1130853589056 is 1063416.

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

1130853589056 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 8 + 5 + 3 + 589 + 0 + 56 = 666.

It is a super-2 number, since 2×1130853589056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130853588993 and 1130853589011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1505796681 + ... + 1505797431.

Almost surely, 2^{1130853589056} is an apocalyptic number.

1130853589056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1130853589056 is the 1063416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130853589056

1130853589056 is an abundant number, since it is smaller than the sum of its proper divisors (2170800316767).

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

1130853589056 is an frugal number, since it uses more digits than its factorization.

1130853589056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1130853589056 in words is "one trillion, one hundred thirty billion, eight hundred fifty-three million, five hundred eighty-nine thousand, fifty-six".