109872574320 has 240 divisors, whose sum is σ = 351717488640. Its totient is φ = 28368897024.

The previous prime is 109872574313. The next prime is 109872574379. The reversal of 109872574320 is 23475278901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109872574320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53257609 + ... + 53259671.

It is an arithmetic number, because the mean of its divisors is an integer number (1465489536).

Almost surely, 2^109872574320 is an apocalyptic number.

109872574320 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 109872574320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175858744320).

109872574320 is an abundant number, since it is smaller than the sum of its proper divisors (241844914320).

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

109872574320 is a wasteful number, since it uses less digits than its factorization.

109872574320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 109872574320 in words is "one hundred nine billion, eight hundred seventy-two million, five hundred seventy-four thousand, three hundred twenty".