13412658820 has 72 divisors (see below), whose sum is σ = 31715319384. Its totient is φ = 4758336000.

The previous prime is 13412658811. The next prime is 13412658821. The reversal of 13412658820 is 2885621431.

It can be written as a sum of positive squares in 4 ways, for example, as 1467043204 + 11945615616 = 38302^2 + 109296^2 .

It is not an unprimeable number, because it can be changed into a prime (13412658821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31630 + ... + 166810.

It is an arithmetic number, because the mean of its divisors is an integer number (440490547).

Almost surely, 2^13412658820 is an apocalyptic number.

13412658820 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 13412658820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857659692).

13412658820 is an abundant number, since it is smaller than the sum of its proper divisors (18302660564).

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

13412658820 is a wasteful number, since it uses less digits than its factorization.

13412658820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135253 (or 135240 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

It can be divided in two parts, 1341 and 2658820, that added together give a square (2660161 = 1631²).

The spelling of 13412658820 in words is "thirteen billion, four hundred twelve million, six hundred fifty-eight thousand, eight hundred twenty".