13382492480 has 224 divisors, whose sum is σ = 38970118656. Its totient is φ = 4272685056.

The previous prime is 13382492449. The next prime is 13382492489. The reversal of 13382492480 is 8429428331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13382492480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13382492489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3691949 + ... + 3695571.

It is an arithmetic number, because the mean of its divisors is an integer number (173973744).

Almost surely, 2^13382492480 is an apocalyptic number.

13382492480 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 13382492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19485059328).

13382492480 is an abundant number, since it is smaller than the sum of its proper divisors (25587626176).

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

13382492480 is a wasteful number, since it uses less digits than its factorization.

13382492480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 13382492480 in words is "thirteen billion, three hundred eighty-two million, four hundred ninety-two thousand, four hundred eighty".