13612526340 has 576 divisors, whose sum is σ = 48538828800. Its totient is φ = 2835495936.

The previous prime is 13612526339. The next prime is 13612526341. The reversal of 13612526340 is 4362521631.

13612526340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13612526339) and next prime (13612526341).

It is not an unprimeable number, because it can be changed into a prime (13612526341) 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 191 ways as a sum of consecutive naturals, for example, 172310421 + ... + 172310499.

It is an arithmetic number, because the mean of its divisors is an integer number (84268800).

Almost surely, 2^13612526340 is an apocalyptic number.

13612526340 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 13612526340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269414400).

13612526340 is an abundant number, since it is smaller than the sum of its proper divisors (34926302460).

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

13612526340 is a wasteful number, since it uses less digits than its factorization.

13612526340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 13612526340 in words is "thirteen billion, six hundred twelve million, five hundred twenty-six thousand, three hundred forty".