13288620048 has 160 divisors (see below), whose sum is σ = 38052564480. Its totient is φ = 3962449920.

The previous prime is 13288620031. The next prime is 13288620067. The reversal of 13288620048 is 84002688231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13288619991 and 13288620009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15469443 + ... + 15470301.

It is an arithmetic number, because the mean of its divisors is an integer number (237828528).

Almost surely, 2^13288620048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288620048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026282240).

13288620048 is an abundant number, since it is smaller than the sum of its proper divisors (24763944432).

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

13288620048 is a wasteful number, since it uses less digits than its factorization.

13288620048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

It can be divided in two parts, 13288 and 620048, that added together give a palindrome (633336).

The spelling of 13288620048 in words is "thirteen billion, two hundred eighty-eight million, six hundred twenty thousand, forty-eight".