109973790720 has 784 divisors, whose sum is σ = 412568501760. Its totient is φ = 28092137472.

The previous prime is 109973790697. The next prime is 109973790733. The reversal of 109973790720 is 27097379901.

It is a happy number.

109973790720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 865935297 + ... + 865935423.

Almost surely, 2^109973790720 is an apocalyptic number.

109973790720 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 109973790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206284250880).

109973790720 is an abundant number, since it is smaller than the sum of its proper divisors (302594711040).

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

109973790720 is an frugal number, since it uses more digits than its factorization.

109973790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The spelling of 109973790720 in words is "one hundred nine billion, nine hundred seventy-three million, seven hundred ninety thousand, seven hundred twenty".