13480680800 has 72 divisors (see below), whose sum is σ = 32996388096. Its totient is φ = 5378071040.

The previous prime is 13480680779. The next prime is 13480680817. The reversal of 13480680800 is 808608431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284402 + ... + 328398.

It is an arithmetic number, because the mean of its divisors is an integer number (458283168).

Almost surely, 2^13480680800 is an apocalyptic number.

13480680800 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 13480680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498194048).

13480680800 is an abundant number, since it is smaller than the sum of its proper divisors (19515707296).

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

13480680800 is a wasteful number, since it uses less digits than its factorization.

13480680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44400 (or 44387 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 13480680800 in words is "thirteen billion, four hundred eighty million, six hundred eighty thousand, eight hundred".