109943482880 has 320 divisors, whose sum is σ = 335673372672. Its totient is φ = 33536163840.

The previous prime is 109943482841. The next prime is 109943482921. The reversal of 109943482880 is 88284349901.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×109943482880³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9258707 + ... + 9270573.

Almost surely, 2^109943482880 is an apocalyptic number.

109943482880 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 109943482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167836686336).

109943482880 is an abundant number, since it is smaller than the sum of its proper divisors (225729889792).

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

109943482880 is a wasteful number, since it uses less digits than its factorization.

109943482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 109943482880 in words is "one hundred nine billion, nine hundred forty-three million, four hundred eighty-two thousand, eight hundred eighty".