109909116172800 has 3600 divisors, whose sum is σ = 493127646248160. Its totient is φ = 24176795811840.

The previous prime is 109909116172799. The next prime is 109909116172937. The reversal of 109909116172800 is 8271611909901.

109909116172800 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 0 + 9 + 11 + 617 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 358010150247 + ... + 358010150553.

Almost surely, 2^{109909116172800} is an apocalyptic number.

109909116172800 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 109909116172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246563823124080).

109909116172800 is an abundant number, since it is smaller than the sum of its proper divisors (383218530075360).

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

109909116172800 is an frugal number, since it uses more digits than its factorization.

109909116172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 54.

The spelling of 109909116172800 in words is "one hundred nine trillion, nine hundred nine billion, one hundred sixteen million, one hundred seventy-two thousand, eight hundred".