109800472320 has 1440 divisors, whose sum is σ = 505630003200. Its totient is φ = 22079692800.

The previous prime is 109800472319. The next prime is 109800472333. The reversal of 109800472320 is 23274008901.

109800472320 is a `hidden beast` number, since 109 + 80 + 0 + 472 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×109800472320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3541950705 + ... + 3541950735.

Almost surely, 2^109800472320 is an apocalyptic number.

109800472320 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 109800472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252815001600).

109800472320 is an abundant number, since it is smaller than the sum of its proper divisors (395829530880).

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

109800472320 is an frugal number, since it uses more digits than its factorization.

109800472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 109800472320 in words is "one hundred nine billion, eight hundred million, four hundred seventy-two thousand, three hundred twenty".