1080314188800 has 2112 divisors, whose sum is σ = 4715986157568. Its totient is φ = 211599360000.

The previous prime is 1080314188777. The next prime is 1080314188801. The reversal of 1080314188800 is 88814130801.

1080314188800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1080314188801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13015833559 + ... + 13015833641.

Almost surely, 2^{1080314188800} is an apocalyptic number.

1080314188800 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 1080314188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357993078784).

1080314188800 is an abundant number, since it is smaller than the sum of its proper divisors (3635671968768).

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

1080314188800 is a wasteful number, since it uses less digits than its factorization.

1080314188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 42.

The spelling of 1080314188800 in words is "one trillion, eighty billion, three hundred fourteen million, one hundred eighty-eight thousand, eight hundred".