13278605824 has 120 divisors (see below), whose sum is σ = 30433677120. Its totient is φ = 5772687360.

The previous prime is 13278605819. The next prime is 13278605827. The reversal of 13278605824 is 42850687231.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (13278605827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1420237 + ... + 1429555.

It is an arithmetic number, because the mean of its divisors is an integer number (253613976).

Almost surely, 2^13278605824 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 13278605824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216838560).

13278605824 is an abundant number, since it is smaller than the sum of its proper divisors (17155071296).

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

13278605824 is an equidigital number, since it uses as much as digits as its factorization.

13278605824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9355 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

It can be divided in two parts, 132 and 78605824, that added together give a square (78605956 = 8866²).

The spelling of 13278605824 in words is "thirteen billion, two hundred seventy-eight million, six hundred five thousand, eight hundred twenty-four".