109369516219920 has 1280 divisors, whose sum is σ = 428768899891200. Its totient is φ = 25384907520000.

The previous prime is 109369516219883. The next prime is 109369516219961. The reversal of 109369516219920 is 29912615963901.

109369516219920 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 6 + 9 + 516 + 2 + 1 + 99 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29251005411 + ... + 29251009149.

It is an arithmetic number, because the mean of its divisors is an integer number (334975703040).

Almost surely, 2^{109369516219920} is an apocalyptic number.

109369516219920 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 109369516219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214384449945600).

109369516219920 is an abundant number, since it is smaller than the sum of its proper divisors (319399383671280).

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

109369516219920 is a wasteful number, since it uses less digits than its factorization.

109369516219920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The spelling of 109369516219920 in words is "one hundred nine trillion, three hundred sixty-nine billion, five hundred sixteen million, two hundred nineteen thousand, nine hundred twenty".