13380364920 has 128 divisors (see below), whose sum is σ = 43348515840. Its totient is φ = 3284513280.

The previous prime is 13380364919. The next prime is 13380364969. The reversal of 13380364920 is 2946308331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560835 + ... + 584205.

It is an arithmetic number, because the mean of its divisors is an integer number (338660280).

Almost surely, 2^13380364920 is an apocalyptic number.

13380364920 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 13380364920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21674257920).

13380364920 is an abundant number, since it is smaller than the sum of its proper divisors (29968150920).

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

13380364920 is a wasteful number, since it uses less digits than its factorization.

13380364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23765 (or 23761 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13380364920 in words is "thirteen billion, three hundred eighty million, three hundred sixty-four thousand, nine hundred twenty".