110985073180800 has 768 divisors, whose sum is σ = 456253517905920. Its totient is φ = 23086806220800.

The previous prime is 110985073180693. The next prime is 110985073180811. The reversal of 110985073180800 is 8081370589011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61130929 + ... + 62920271.

It is an arithmetic number, because the mean of its divisors is an integer number (594080101440).

Almost surely, 2^{110985073180800} is an apocalyptic number.

110985073180800 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 110985073180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228126758952960).

110985073180800 is an abundant number, since it is smaller than the sum of its proper divisors (345268444725120).

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

110985073180800 is a wasteful number, since it uses less digits than its factorization.

110985073180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789461 (or 1789444 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 51.

The spelling of 110985073180800 in words is "one hundred ten trillion, nine hundred eighty-five billion, seventy-three million, one hundred eighty thousand, eight hundred".