110099730505800 has 768 divisors, whose sum is σ = 430372454400000. Its totient is φ = 22702226088960.

The previous prime is 110099730505783. The next prime is 110099730505859. The reversal of 110099730505800 is 8505037990011.

It is a self number, because there is not a number n which added to its sum of digits gives 110099730505800.

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, 409159701 + ... + 409428699.

It is an arithmetic number, because the mean of its divisors is an integer number (560380800000).

Almost surely, 2^{110099730505800} is an apocalyptic number.

110099730505800 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 110099730505800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215186227200000).

110099730505800 is an abundant number, since it is smaller than the sum of its proper divisors (320272723894200).

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

110099730505800 is a wasteful number, since it uses less digits than its factorization.

110099730505800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269290 (or 269281 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 48.

The spelling of 110099730505800 in words is "one hundred ten trillion, ninety-nine billion, seven hundred thirty million, five hundred five thousand, eight hundred".