13577969088 has 588 divisors, whose sum is σ = 46024175160. Its totient is φ = 3959414784.

The previous prime is 13577969059. The next prime is 13577969101. The reversal of 13577969088 is 88096977531.

13577969088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13577969088² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 256188070 + ... + 256188122.

Almost surely, 2^13577969088 is an apocalyptic number.

13577969088 is a gapful number since it is divisible by the number (18) 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 13577969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23012087580).

13577969088 is an abundant number, since it is smaller than the sum of its proper divisors (32446206072).

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

13577969088 is an equidigital number, since it uses as much as digits as its factorization.

13577969088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 13577969088 in words is "thirteen billion, five hundred seventy-seven million, nine hundred sixty-nine thousand, eighty-eight".