13659260352 has 56 divisors (see below), whose sum is σ = 36218756112. Its totient is φ = 4543180800.

The previous prime is 13659260347. The next prime is 13659260357. The reversal of 13659260352 is 25306295631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13659260347) and next prime (13659260357).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13659260357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11352 + ... + 165672.

It is an arithmetic number, because the mean of its divisors is an integer number (646763502).

Almost surely, 2^13659260352 is an apocalyptic number.

13659260352 is a gapful number since it is divisible by the number (12) 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 13659260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109378056).

13659260352 is an abundant number, since it is smaller than the sum of its proper divisors (22559495760).

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

13659260352 is a wasteful number, since it uses less digits than its factorization.

13659260352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154797 (or 154787 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 13659260352 in words is "thirteen billion, six hundred fifty-nine million, two hundred sixty thousand, three hundred fifty-two".