13385758260 has 288 divisors, whose sum is σ = 44813381760. Its totient is φ = 2975616000.

The previous prime is 13385758157. The next prime is 13385758261. The reversal of 13385758260 is 6285758331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385758261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18112971 + ... + 18113709.

It is an arithmetic number, because the mean of its divisors is an integer number (155602020).

Almost surely, 2^13385758260 is an apocalyptic number.

13385758260 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 13385758260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406690880).

13385758260 is an abundant number, since it is smaller than the sum of its proper divisors (31427623500).

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

13385758260 is a wasteful number, since it uses less digits than its factorization.

13385758260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 13385758260 in words is "thirteen billion, three hundred eighty-five million, seven hundred fifty-eight thousand, two hundred sixty".