13017659040 has 120 divisors (see below), whose sum is σ = 45941534100. Its totient is φ = 3471372288.

The previous prime is 13017659029. The next prime is 13017659047. The reversal of 13017659040 is 4095671031.

13017659040 is a `hidden beast` number, since 13 + 0 + 17 + 6 + 590 + 40 = 666.

13017659040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12916777104 + 100881936 = 113652^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13017658986 and 13017659004.

It is not an unprimeable number, because it can be changed into a prime (13017659047) 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 19 ways as a sum of consecutive naturals, for example, 489265 + ... + 515184.

Almost surely, 2^13017659040 is an apocalyptic number.

13017659040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13017659040 is an abundant number, since it is smaller than the sum of its proper divisors (32923875060).

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

13017659040 is a wasteful number, since it uses less digits than its factorization.

13017659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004476 (or 1004459 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 13017659040 in words is "thirteen billion, seventeen million, six hundred fifty-nine thousand, forty".