13827493110 has 128 divisors (see below), whose sum is σ = 34867584000. Its totient is φ = 3505835520.

The previous prime is 13827493109. The next prime is 13827493111. The reversal of 13827493110 is 1139472831.

It is an interprime number because it is at equal distance from previous prime (13827493109) and next prime (13827493111).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827493111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13031980 + ... + 13033040.

It is an arithmetic number, because the mean of its divisors is an integer number (272403000).

Almost surely, 2^13827493110 is an apocalyptic number.

13827493110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13827493110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433792000).

13827493110 is an abundant number, since it is smaller than the sum of its proper divisors (21040090890).

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

13827493110 is a wasteful number, since it uses less digits than its factorization.

13827493110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 13827493110 in words is "thirteen billion, eight hundred twenty-seven million, four hundred ninety-three thousand, one hundred ten".