1130591833800 has 768 divisors, whose sum is σ = 4237528780800. Its totient is φ = 245713305600.

The previous prime is 1130591833741. The next prime is 1130591833837. The reversal of 1130591833800 is 83381950311.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 560530392 + ... + 560532408.

It is an arithmetic number, because the mean of its divisors is an integer number (5517615600).

Almost surely, 2^{1130591833800} is an apocalyptic number.

1130591833800 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 1130591833800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118764390400).

1130591833800 is an abundant number, since it is smaller than the sum of its proper divisors (3106936947000).

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

1130591833800 is a wasteful number, since it uses less digits than its factorization.

1130591833800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 1130591833800 in words is "one trillion, one hundred thirty billion, five hundred ninety-one million, eight hundred thirty-three thousand, eight hundred".