1080091584000 has 3200 divisors, whose sum is σ = 4982945071104. Its totient is φ = 228925440000.

The previous prime is 1080091583981. The next prime is 1080091584007. The reversal of 1080091584000 is 4851900801.

It is a tau number, because it is divible by the number of its divisors (3200).

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 (1080091584007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22980671977 + ... + 22980672023.

Almost surely, 2^{1080091584000} is an apocalyptic number.

1080091584000 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 1080091584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491472535552).

1080091584000 is an abundant number, since it is smaller than the sum of its proper divisors (3902853487104).

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

1080091584000 is a wasteful number, since it uses less digits than its factorization.

1080091584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 1080091584000 in words is "one trillion, eighty billion, ninety-one million, five hundred eighty-four thousand".