1130844052800 has 1512 divisors, whose sum is σ = 5324674704960. Its totient is φ = 221095526400.

The previous prime is 1130844052661. The next prime is 1130844052801. The reversal of 1130844052800 is 82504480311.

1130844052800 is a `hidden beast` number, since 1 + 13 + 0 + 84 + 40 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130844052801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 320441436 + ... + 320444964.

Almost surely, 2^{1130844052800} is an apocalyptic number.

1130844052800 is a gapful number since it is divisible by the number (10) 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 1130844052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662337352480).

1130844052800 is an abundant number, since it is smaller than the sum of its proper divisors (4193830652160).

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

1130844052800 is a wasteful number, since it uses less digits than its factorization.

1130844052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1130844052800 in words is "one trillion, one hundred thirty billion, eight hundred forty-four million, fifty-two thousand, eight hundred".