13208084880 has 160 divisors (see below), whose sum is σ = 42784761600. Its totient is φ = 3364331520.

The previous prime is 13208084833. The next prime is 13208084893. The reversal of 13208084880 is 8848080231.

It is a super-2 number, since 2×13208084880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5789340 + ... + 5791620.

It is an arithmetic number, because the mean of its divisors is an integer number (267404760).

Almost surely, 2^13208084880 is an apocalyptic number.

13208084880 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 13208084880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392380800).

13208084880 is an abundant number, since it is smaller than the sum of its proper divisors (29576676720).

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

13208084880 is a wasteful number, since it uses less digits than its factorization.

13208084880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 13208084880 in words is "thirteen billion, two hundred eight million, eighty-four thousand, eight hundred eighty".