13605351540 has 96 divisors (see below), whose sum is σ = 41599474560. Its totient is φ = 3294988800.

The previous prime is 13605351509. The next prime is 13605351547. The reversal of 13605351540 is 4515350631.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13605351547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690546 + ... + 709974.

It is an arithmetic number, because the mean of its divisors is an integer number (433327860).

Almost surely, 2^13605351540 is an apocalyptic number.

13605351540 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 13605351540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20799737280).

13605351540 is an abundant number, since it is smaller than the sum of its proper divisors (27994123020).

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

13605351540 is a wasteful number, since it uses less digits than its factorization.

13605351540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20513 (or 20511 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Subtracting from 13605351540 its reverse (4515350631), we obtain a palindrome (9090000909).

It can be divided in two parts, 1360535 and 1540, that added together give a triangular number (1362075 = T₁₆₅₀).

The spelling of 13605351540 in words is "thirteen billion, six hundred five million, three hundred fifty-one thousand, five hundred forty".