13300505856 has 756 divisors, whose sum is σ = 47541477760. Its totient is φ = 3695155200.

The previous prime is 13300505843. The next prime is 13300505909. The reversal of 13300505856 is 65850500331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13300505856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 429048561 + ... + 429048591.

Almost surely, 2^13300505856 is an apocalyptic number.

13300505856 is a gapful number since it is divisible by the number (16) 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 13300505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23770738880).

13300505856 is an abundant number, since it is smaller than the sum of its proper divisors (34240971904).

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

13300505856 is an equidigital number, since it uses as much as digits as its factorization.

13300505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13300505856 in words is "thirteen billion, three hundred million, five hundred five thousand, eight hundred fifty-six".