13831290880 has 120 divisors (see below), whose sum is σ = 36214088400. Its totient is φ = 5029232640.

The previous prime is 13831290871. The next prime is 13831290883. The reversal of 13831290880 is 8809213831.

It is a super-3 number, since 3×13831290880³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13831290883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 893446 + ... + 908794.

It is an arithmetic number, because the mean of its divisors is an integer number (301784070).

Almost surely, 2^13831290880 is an apocalyptic number.

13831290880 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 13831290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18107044200).

13831290880 is an abundant number, since it is smaller than the sum of its proper divisors (22382797520).

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

13831290880 is an equidigital number, since it uses as much as digits as its factorization.

13831290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15367 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 13831290880 in words is "thirteen billion, eight hundred thirty-one million, two hundred ninety thousand, eight hundred eighty".