13597305540 has 192 divisors, whose sum is σ = 49325015040. Its totient is φ = 2717867520.

The previous prime is 13597305539. The next prime is 13597305541. The reversal of 13597305540 is 4550379531.

13597305540 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 (13597305539) and next prime (13597305541).

It is a super-2 number, since 2×13597305540² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13597305492 and 13597305501.

It is not an unprimeable number, because it can be changed into a prime (13597305541) 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 63 ways as a sum of consecutive naturals, for example, 38205 + ... + 169275.

It is an arithmetic number, because the mean of its divisors is an integer number (256901120).

Almost surely, 2^13597305540 is an apocalyptic number.

13597305540 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 13597305540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24662507520).

13597305540 is an abundant number, since it is smaller than the sum of its proper divisors (35727709500).

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

13597305540 is a wasteful number, since it uses less digits than its factorization.

13597305540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131122 (or 131120 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 42.

The spelling of 13597305540 in words is "thirteen billion, five hundred ninety-seven million, three hundred five thousand, five hundred forty".