13590585690 has 384 divisors, whose sum is σ = 39713587200. Its totient is φ = 2964403200.

The previous prime is 13590585661. The next prime is 13590585703. The reversal of 13590585690 is 9658509531.

13590585690 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 2×13590585690² (a number of 21 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 152703166 + ... + 152703254.

It is an arithmetic number, because the mean of its divisors is an integer number (103420800).

Almost surely, 2^13590585690 is an apocalyptic number.

13590585690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13590585690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600).

13590585690 is an abundant number, since it is smaller than the sum of its proper divisors (26123001510).

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

13590585690 is a wasteful number, since it uses less digits than its factorization.

13590585690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 51.

The spelling of 13590585690 in words is "thirteen billion, five hundred ninety million, five hundred eighty-five thousand, six hundred ninety".