109558999872 has 224 divisors, whose sum is σ = 369505382400. Its totient is φ = 31182644736.

The previous prime is 109558999843. The next prime is 109558999877. The reversal of 109558999872 is 278999855901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 109558999872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109558999877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3164029 + ... + 3198467.

It is an arithmetic number, because the mean of its divisors is an integer number (1649577600).

Almost surely, 2^109558999872 is an apocalyptic number.

109558999872 is a gapful number since it is divisible by the number (12) 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 109558999872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184752691200).

109558999872 is an abundant number, since it is smaller than the sum of its proper divisors (259946382528).

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

109558999872 is a wasteful number, since it uses less digits than its factorization.

109558999872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34730 (or 34714 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 72.

The spelling of 109558999872 in words is "one hundred nine billion, five hundred fifty-eight million, nine hundred ninety-nine thousand, eight hundred seventy-two".