109963365120 has 432 divisors, whose sum is σ = 435838620672. Its totient is φ = 25075261440.

The previous prime is 109963365119. The next prime is 109963365139. The reversal of 109963365120 is 21563369901.

109963365120 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 633 + 6 + 5 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×109963365120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40560565 + ... + 40563275.

It is an arithmetic number, because the mean of its divisors is an integer number (1008885696).

Almost surely, 2^109963365120 is an apocalyptic number.

109963365120 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 109963365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217919310336).

109963365120 is an abundant number, since it is smaller than the sum of its proper divisors (325875255552).

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

109963365120 is a wasteful number, since it uses less digits than its factorization.

109963365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 109963365120 in words is "one hundred nine billion, nine hundred sixty-three million, three hundred sixty-five thousand, one hundred twenty".