13585584880 has 80 divisors (see below), whose sum is σ = 36298551744. Its totient is φ = 4632145920.

The previous prime is 13585584871. The next prime is 13585584893. The reversal of 13585584880 is 8848558531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13585584880² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34344 + ... + 168376.

Almost surely, 2^13585584880 is an apocalyptic number.

13585584880 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 13585584880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18149275872).

13585584880 is an abundant number, since it is smaller than the sum of its proper divisors (22712966864).

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

13585584880 is a wasteful number, since it uses less digits than its factorization.

13585584880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134234 (or 134228 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 55.

The spelling of 13585584880 in words is "thirteen billion, five hundred eighty-five million, five hundred eighty-four thousand, eight hundred eighty".