109852269120 has 448 divisors, whose sum is σ = 437353862400. Its totient is φ = 25711902720.

The previous prime is 109852269097. The next prime is 109852269133. The reversal of 109852269120 is 21962258901.

It is a happy number.

109852269120 is a `hidden beast` number, since 10 + 9 + 8 + 522 + 6 + 91 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2736232 + ... + 2776088.

It is an arithmetic number, because the mean of its divisors is an integer number (976236300).

Almost surely, 2^109852269120 is an apocalyptic number.

109852269120 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 109852269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218676931200).

109852269120 is an abundant number, since it is smaller than the sum of its proper divisors (327501593280).

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

109852269120 is a wasteful number, since it uses less digits than its factorization.

109852269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39923 (or 39907 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 109852269120 in words is "one hundred nine billion, eight hundred fifty-two million, two hundred sixty-nine thousand, one hundred twenty".