13506220260 has 240 divisors, whose sum is σ = 46864618416. Its totient is φ = 3234567168.

The previous prime is 13506220219. The next prime is 13506220291. The reversal of 13506220260 is 6202260531.

13506220260 is a `hidden beast` number, since 1 + 35 + 0 + 622 + 0 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1323358884 + 12182861376 = 36378^2 + 110376^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 770554 + ... + 787886.

Almost surely, 2^13506220260 is an apocalyptic number.

13506220260 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 13506220260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23432309208).

13506220260 is an abundant number, since it is smaller than the sum of its proper divisors (33358398156).

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

13506220260 is a wasteful number, since it uses less digits than its factorization.

13506220260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17404 (or 17393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13506220260 its reverse (6202260531), we get a palindrome (19708480791).

The spelling of 13506220260 in words is "thirteen billion, five hundred six million, two hundred twenty thousand, two hundred sixty".