109163980800 has 1152 divisors, whose sum is σ = 475282080000. Its totient is φ = 24029429760.

The previous prime is 109163980777. The next prime is 109163980831. The reversal of 109163980800 is 8089361901.

109163980800 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 639 + 8 + 0 + 8 + 0 + 0 = 666.

109163980800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 280627006 + ... + 280627394.

It is an arithmetic number, because the mean of its divisors is an integer number (412571250).

Almost surely, 2^109163980800 is an apocalyptic number.

109163980800 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 109163980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237641040000).

109163980800 is an abundant number, since it is smaller than the sum of its proper divisors (366118099200).

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

109163980800 is a wasteful number, since it uses less digits than its factorization.

109163980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 109163980800 in words is "one hundred nine billion, one hundred sixty-three million, nine hundred eighty thousand, eight hundred".