13258877660 has 384 divisors, whose sum is σ = 36578304000. Its totient is φ = 4016087040.

The previous prime is 13258877657. The next prime is 13258877669. The reversal of 13258877660 is 6677885231.

13258877660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13258877669) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 224726711 + ... + 224726769.

It is an arithmetic number, because the mean of its divisors is an integer number (95256000).

Almost surely, 2^13258877660 is an apocalyptic number.

13258877660 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 13258877660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152000).

13258877660 is an abundant number, since it is smaller than the sum of its proper divisors (23319426340).

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

13258877660 is a wasteful number, since it uses less digits than its factorization.

13258877660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 13258877660 in words is "thirteen billion, two hundred fifty-eight million, eight hundred seventy-seven thousand, six hundred sixty".