13087785144 has 256 divisors, whose sum is σ = 40066560000. Its totient is φ = 3556224000.

The previous prime is 13087785103. The next prime is 13087785187. The reversal of 13087785144 is 44158778031.

It is a junction number, because it is equal to n+sod(n) for n = 13087785093 and 13087785102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17426769 + ... + 17427519.

It is an arithmetic number, because the mean of its divisors is an integer number (156510000).

Almost surely, 2^13087785144 is an apocalyptic number.

13087785144 is a gapful number since it is divisible by the number (14) 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 13087785144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033280000).

13087785144 is an abundant number, since it is smaller than the sum of its proper divisors (26978774856).

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

13087785144 is a wasteful number, since it uses less digits than its factorization.

13087785144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 13087785144 in words is "thirteen billion, eighty-seven million, seven hundred eighty-five thousand, one hundred forty-four".