13781172660 has 96 divisors (see below), whose sum is σ = 40292259840. Its totient is φ = 3512817792.

The previous prime is 13781172571. The next prime is 13781172661. The reversal of 13781172660 is 6627118731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13781172661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3004729 + ... + 3009311.

It is an arithmetic number, because the mean of its divisors is an integer number (419711040).

Almost surely, 2^13781172660 is an apocalyptic number.

13781172660 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 13781172660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146129920).

13781172660 is an abundant number, since it is smaller than the sum of its proper divisors (26511087180).

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

13781172660 is a wasteful number, since it uses less digits than its factorization.

13781172660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 13781172660 in words is "thirteen billion, seven hundred eighty-one million, one hundred seventy-two thousand, six hundred sixty".