109794584881800 has 1152 divisors, whose sum is σ = 477899462476800. Its totient is φ = 21937180907520.

The previous prime is 109794584881769. The next prime is 109794584881801. The reversal of 109794584881800 is 8188485497901.

109794584881800 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 94 + 58 + 488 + 1 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (109794584881801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9594906879 + ... + 9594918321.

It is an arithmetic number, because the mean of its divisors is an integer number (414843283400).

Almost surely, 2^{109794584881800} is an apocalyptic number.

109794584881800 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 109794584881800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238949731238400).

109794584881800 is an abundant number, since it is smaller than the sum of its proper divisors (368104877595000).

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

109794584881800 is a wasteful number, since it uses less digits than its factorization.

109794584881800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14587 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 72.

The spelling of 109794584881800 in words is "one hundred nine trillion, seven hundred ninety-four billion, five hundred eighty-four million, eight hundred eighty-one thousand, eight hundred".