13335745920 has 384 divisors, whose sum is σ = 51605994240. Its totient is φ = 2915168256.

The previous prime is 13335745919. The next prime is 13335745957. The reversal of 13335745920 is 2954753331.

13335745920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 2160759 + ... + 2166921.

It is an arithmetic number, because the mean of its divisors is an integer number (134390610).

Almost surely, 2^13335745920 is an apocalyptic number.

13335745920 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 13335745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25802997120).

13335745920 is an abundant number, since it is smaller than the sum of its proper divisors (38270248320).

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

13335745920 is a wasteful number, since it uses less digits than its factorization.

13335745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The spelling of 13335745920 in words is "thirteen billion, three hundred thirty-five million, seven hundred forty-five thousand, nine hundred twenty".