109791811584 has 720 divisors, whose sum is σ = 411221210400. Its totient is φ = 28928212992.

The previous prime is 109791811537. The next prime is 109791811609. The reversal of 109791811584 is 485118197901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 109791811584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105670137 + ... + 105671175.

It is an arithmetic number, because the mean of its divisors is an integer number (571140570).

Almost surely, 2^109791811584 is an apocalyptic number.

109791811584 is a gapful number since it is divisible by the number (14) 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 109791811584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205610605200).

109791811584 is an abundant number, since it is smaller than the sum of its proper divisors (301429398816).

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

109791811584 is a wasteful number, since it uses less digits than its factorization.

109791811584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

The spelling of 109791811584 in words is "one hundred nine billion, seven hundred ninety-one million, eight hundred eleven thousand, five hundred eighty-four".