13779430080 has 224 divisors, whose sum is σ = 47781715968. Its totient is φ = 3343872000.

The previous prime is 13779430013. The next prime is 13779430099. The reversal of 13779430080 is 8003497731.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 878305 + ... + 893855.

It is an arithmetic number, because the mean of its divisors is an integer number (213311232).

Almost surely, 2^13779430080 is an apocalyptic number.

13779430080 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 13779430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23890857984).

13779430080 is an abundant number, since it is smaller than the sum of its proper divisors (34002285888).

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

13779430080 is a wasteful number, since it uses less digits than its factorization.

13779430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655 (or 15645 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 13779430080 in words is "thirteen billion, seven hundred seventy-nine million, four hundred thirty thousand, eighty".