13355015936 has 72 divisors (see below), whose sum is σ = 27694221408. Its totient is φ = 6422528000.

The previous prime is 13355015899. The next prime is 13355015957. The reversal of 13355015936 is 63951055331.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 13355015893 and 13355015902.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 736256 + ... + 754176.

It is an arithmetic number, because the mean of its divisors is an integer number (384641964).

Almost surely, 2^13355015936 is an apocalyptic number.

13355015936 is a gapful number since it is divisible by the number (16) 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 13355015936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847110704).

13355015936 is an abundant number, since it is smaller than the sum of its proper divisors (14339205472).

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

13355015936 is an equidigital number, since it uses as much as digits as its factorization.

13355015936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18049 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 41.

The spelling of 13355015936 in words is "thirteen billion, three hundred fifty-five million, fifteen thousand, nine hundred thirty-six".