109579392000 has 1056 divisors, whose sum is σ = 442629917184. Its totient is φ = 26873856000.

The previous prime is 109579391963. The next prime is 109579392031. The reversal of 109579392000 is 293975901.

It is a happy number.

109579392000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 404351865 + ... + 404352135.

Almost surely, 2^109579392000 is an apocalyptic number.

109579392000 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 109579392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221314958592).

109579392000 is an abundant number, since it is smaller than the sum of its proper divisors (333050525184).

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

109579392000 is an equidigital number, since it uses as much as digits as its factorization.

109579392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 109579392000 in words is "one hundred nine billion, five hundred seventy-nine million, three hundred ninety-two thousand".