109855285920 has 144 divisors (see below), whose sum is σ = 375106003272. Its totient is φ = 29277173760.

The previous prime is 109855285901. The next prime is 109855285921. The reversal of 109855285920 is 29582558901.

109855285920 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 552 + 85 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81108761616 + 28746524304 = 284796^2 + 169548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (109855285921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2473510 + ... + 2517530.

Almost surely, 2^109855285920 is an apocalyptic number.

109855285920 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 109855285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187553001636).

109855285920 is an abundant number, since it is smaller than the sum of its proper divisors (265250717352).

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

109855285920 is a wasteful number, since it uses less digits than its factorization.

109855285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45775 (or 45764 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 109855285920 in words is "one hundred nine billion, eight hundred fifty-five million, two hundred eighty-five thousand, nine hundred twenty".