13585881936 has 240 divisors, whose sum is σ = 40507518464. Its totient is φ = 3915648000.

The previous prime is 13585881929. The next prime is 13585881941. The reversal of 13585881936 is 63918858531.

It is a happy number.

It is a super-2 number, since 2×13585881936² (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 47 ways as a sum of consecutive naturals, for example, 10982310 + ... + 10983546.

Almost surely, 2^13585881936 is an apocalyptic number.

13585881936 is a gapful number since it is divisible by the number (16) 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 13585881936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20253759232).

13585881936 is an abundant number, since it is smaller than the sum of its proper divisors (26921636528).

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

13585881936 is a wasteful number, since it uses less digits than its factorization.

13585881936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1345 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 57.

The spelling of 13585881936 in words is "thirteen billion, five hundred eighty-five million, eight hundred eighty-one thousand, nine hundred thirty-six".