13435540888 has 144 divisors (see below), whose sum is σ = 32763565800. Its totient is φ = 5144832000.

The previous prime is 13435540883. The next prime is 13435540891. The reversal of 13435540888 is 88804553431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13435540883) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2796088 + ... + 2800888.

Almost surely, 2^13435540888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13435540888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381782900).

13435540888 is an abundant number, since it is smaller than the sum of its proper divisors (19328024912).

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

13435540888 is a wasteful number, since it uses less digits than its factorization.

13435540888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4902 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 13435540888 in words is "thirteen billion, four hundred thirty-five million, five hundred forty thousand, eight hundred eighty-eight".