109985292172800 has 1080 divisors, whose sum is σ = 433045144540008. Its totient is φ = 26638287667200.

The previous prime is 109985292172757. The next prime is 109985292172801. The reversal of 109985292172800 is 8271292589901.

109985292172800 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 529 + 21 + 7 + 2 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109985292172801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18218531382 + ... + 18218537418.

Almost surely, 2^{109985292172800} is an apocalyptic number.

109985292172800 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 109985292172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216522572270004).

109985292172800 is an abundant number, since it is smaller than the sum of its proper divisors (323059852367208).

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

109985292172800 is a wasteful number, since it uses less digits than its factorization.

109985292172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 109985292172800 in words is "one hundred nine trillion, nine hundred eighty-five billion, two hundred ninety-two million, one hundred seventy-two thousand, eight hundred".