109257888960 has 672 divisors, whose sum is σ = 434166264000. Its totient is φ = 25830604800.

The previous prime is 109257888937. The next prime is 109257888979. The reversal of 109257888960 is 69888752901.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42861766 + ... + 42864314.

It is an arithmetic number, because the mean of its divisors is an integer number (646080750).

Almost surely, 2^109257888960 is an apocalyptic number.

109257888960 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 109257888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217083132000).

109257888960 is an abundant number, since it is smaller than the sum of its proper divisors (324908375040).

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

109257888960 is a wasteful number, since it uses less digits than its factorization.

109257888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 109257888960 in words is "one hundred nine billion, two hundred fifty-seven million, eight hundred eighty-eight thousand, nine hundred sixty".