13615105020 has 192 divisors, whose sum is σ = 43454154240. Its totient is φ = 3154816000.

The previous prime is 13615105013. The next prime is 13615105069. The reversal of 13615105020 is 2050151631.

13615105020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1929619 + ... + 1936661.

It is an arithmetic number, because the mean of its divisors is an integer number (226323720).

Almost surely, 2^13615105020 is an apocalyptic number.

13615105020 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 13615105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21727077120).

13615105020 is an abundant number, since it is smaller than the sum of its proper divisors (29839049220).

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

13615105020 is a wasteful number, since it uses less digits than its factorization.

13615105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 13615105020 its reverse (2050151631), we get a palindrome (15665256651).

The spelling of 13615105020 in words is "thirteen billion, six hundred fifteen million, one hundred five thousand, twenty".