1160112844800 has 3120 divisors, whose sum is σ = 5574642575040. Its totient is φ = 231871610880.

The previous prime is 1160112844741. The next prime is 1160112844817. The reversal of 1160112844800 is 84482110611.

1160112844800 is a `hidden beast` number, since 1 + 1 + 60 + 112 + 8 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21888921574 + ... + 21888921626.

Almost surely, 2^{1160112844800} is an apocalyptic number.

1160112844800 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 1160112844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787321287520).

1160112844800 is an abundant number, since it is smaller than the sum of its proper divisors (4414529730240).

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

1160112844800 is a wasteful number, since it uses less digits than its factorization.

1160112844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 1160112844800 in words is "one trillion, one hundred sixty billion, one hundred twelve million, eight hundred forty-four thousand, eight hundred".