109040686272 has 1008 divisors, whose sum is σ = 421177760640. Its totient is φ = 27715903488.

The previous prime is 109040686241. The next prime is 109040686273. The reversal of 109040686272 is 272686040901.

It is a happy number.

109040686272 is a `hidden beast` number, since 10 + 9 + 0 + 4 + 0 + 6 + 8 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109040686273) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246141283 + ... + 246141725.

It is an arithmetic number, because the mean of its divisors is an integer number (417835080).

Almost surely, 2^109040686272 is an apocalyptic number.

109040686272 is a gapful number since it is divisible by the number (12) 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 109040686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210588880320).

109040686272 is an abundant number, since it is smaller than the sum of its proper divisors (312137074368).

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

109040686272 is a wasteful number, since it uses less digits than its factorization.

109040686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109040686272 in words is "one hundred nine billion, forty million, six hundred eighty-six thousand, two hundred seventy-two".