13886080000 has 220 divisors, whose sum is σ = 37377769660. Its totient is φ = 5124096000.

The previous prime is 13886079989. The next prime is 13886080001. The reversal of 13886080000 is 8068831.

It can be written as a sum of positive squares in 10 ways, for example, as 12486721536 + 1399358464 = 111744^2 + 37408^2 .

It is not an unprimeable number, because it can be changed into a prime (13886080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8319166 + ... + 8320834.

It is an arithmetic number, because the mean of its divisors is an integer number (169898953).

Almost surely, 2^13886080000 is an apocalyptic number.

13886080000 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 13886080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18688884830).

13886080000 is an abundant number, since it is smaller than the sum of its proper divisors (23491689660).

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

13886080000 is an equidigital number, since it uses as much as digits as its factorization.

13886080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 13886080000 in words is "thirteen billion, eight hundred eighty-six million, eighty thousand".