13906190080 has 144 divisors (see below), whose sum is σ = 34861155840. Its totient is φ = 5304848384.

The previous prime is 13906189933. The next prime is 13906190099. The reversal of 13906190080 is 8009160931.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16574301 + ... + 16575139.

It is an arithmetic number, because the mean of its divisors is an integer number (242091360).

Almost surely, 2^13906190080 is an apocalyptic number.

13906190080 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 13906190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430577920).

13906190080 is an abundant number, since it is smaller than the sum of its proper divisors (20954965760).

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

13906190080 is an equidigital number, since it uses as much as digits as its factorization.

13906190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 13906190080 in words is "thirteen billion, nine hundred six million, one hundred ninety thousand, eighty".