13582426830 has 128 divisors (see below), whose sum is σ = 39287808000. Its totient is φ = 2935730304.

The previous prime is 13582426807. The next prime is 13582426841. The reversal of 13582426830 is 3862428531.

13582426830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2387169 + ... + 2392851.

It is an arithmetic number, because the mean of its divisors is an integer number (306936000).

Almost surely, 2^13582426830 is an apocalyptic number.

13582426830 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 13582426830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19643904000).

13582426830 is an abundant number, since it is smaller than the sum of its proper divisors (25705381170).

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

13582426830 is a wasteful number, since it uses less digits than its factorization.

13582426830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 13582426830 in words is "thirteen billion, five hundred eighty-two million, four hundred twenty-six thousand, eight hundred thirty".