13185263840 has 96 divisors (see below), whose sum is σ = 35678833344. Its totient is φ = 4510679040.

The previous prime is 13185263837. The next prime is 13185263879. The reversal of 13185263840 is 4836258131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503552 + ... + 529088.

It is an arithmetic number, because the mean of its divisors is an integer number (371654514).

Almost surely, 2^13185263840 is an apocalyptic number.

13185263840 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 13185263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839416672).

13185263840 is an abundant number, since it is smaller than the sum of its proper divisors (22493569504).

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

13185263840 is a wasteful number, since it uses less digits than its factorization.

13185263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26020 (or 26012 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 13185263840 in words is "thirteen billion, one hundred eighty-five million, two hundred sixty-three thousand, eight hundred forty".