13260655800 has 768 divisors, whose sum is σ = 54467942400. Its totient is φ = 2939328000.

The previous prime is 13260655781. The next prime is 13260655813. The reversal of 13260655800 is 855606231.

13260655800 is a `hidden beast` number, since 13 + 2 + 6 + 0 + 65 + 580 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186769765 + ... + 186769835.

It is an arithmetic number, because the mean of its divisors is an integer number (70921800).

Almost surely, 2^13260655800 is an apocalyptic number.

13260655800 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 13260655800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27233971200).

13260655800 is an abundant number, since it is smaller than the sum of its proper divisors (41207286600).

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

13260655800 is an equidigital number, since it uses as much as digits as its factorization.

13260655800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 13260655800 in words is "thirteen billion, two hundred sixty million, six hundred fifty-five thousand, eight hundred".