1130575283712 has 640 divisors, whose sum is σ = 3914429460480. Its totient is φ = 319476400128.

The previous prime is 1130575283627. The next prime is 1130575283741. The reversal of 1130575283712 is 2173825750311.

1130575283712 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 57 + 528 + 3 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760305433 + ... + 760306919.

It is an arithmetic number, because the mean of its divisors is an integer number (6116296032).

Almost surely, 2^{1130575283712} is an apocalyptic number.

1130575283712 is a gapful number since it is divisible by the number (12) 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 1130575283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957214730240).

1130575283712 is an abundant number, since it is smaller than the sum of its proper divisors (2783854176768).

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

1130575283712 is an frugal number, since it uses more digits than its factorization.

1130575283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1130575283712 in words is "one trillion, one hundred thirty billion, five hundred seventy-five million, two hundred eighty-three thousand, seven hundred twelve".