13405000050 has 144 divisors (see below), whose sum is σ = 38851263360. Its totient is φ = 3294069120.

The previous prime is 13405000043. The next prime is 13405000051. The reversal of 13405000050 is 5000050431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13404999987 and 13405000032.

It is not an unprimeable number, because it can be changed into a prime (13405000051) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4204557 + ... + 4207743.

It is an arithmetic number, because the mean of its divisors is an integer number (269800440).

Almost surely, 2^13405000050 is an apocalyptic number.

13405000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13405000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19425631680).

13405000050 is an abundant number, since it is smaller than the sum of its proper divisors (25446263310).

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

13405000050 is a wasteful number, since it uses less digits than its factorization.

13405000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

Adding to 13405000050 its reverse (5000050431), we get a palindrome (18405050481).

The spelling of 13405000050 in words is "thirteen billion, four hundred five million, fifty", and thus it is an aban number.