13362919680 has 576 divisors, whose sum is σ = 48826810368. Its totient is φ = 3086254080.

The previous prime is 13362919631. The next prime is 13362919681. The reversal of 13362919680 is 8691926331.

13362919680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13362919681) by changing a digit.

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, 105219777 + ... + 105219903.

It is an arithmetic number, because the mean of its divisors is an integer number (84768768).

Almost surely, 2^13362919680 is an apocalyptic number.

13362919680 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 13362919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413405184).

13362919680 is an abundant number, since it is smaller than the sum of its proper divisors (35463890688).

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

13362919680 is a wasteful number, since it uses less digits than its factorization.

13362919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 13362919680 in words is "thirteen billion, three hundred sixty-two million, nine hundred nineteen thousand, six hundred eighty".