13820260608 has 576 divisors, whose sum is σ = 53215948800. Its totient is φ = 3430563840.

The previous prime is 13820260591. The next prime is 13820260651. The reversal of 13820260608 is 80606202831.

13820260608 is a `hidden beast` number, since 1 + 3 + 8 + 20 + 26 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 63 ways as a sum of consecutive naturals, for example, 12240588 + ... + 12241716.

It is an arithmetic number, because the mean of its divisors is an integer number (92388800).

Almost surely, 2^13820260608 is an apocalyptic number.

13820260608 is a gapful number since it is divisible by the number (18) 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 13820260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26607974400).

13820260608 is an abundant number, since it is smaller than the sum of its proper divisors (39395688192).

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

13820260608 is a wasteful number, since it uses less digits than its factorization.

13820260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13820260608 in words is "thirteen billion, eight hundred twenty million, two hundred sixty thousand, six hundred eight".