13382148780 has 768 divisors, whose sum is σ = 58886553600. Its totient is φ = 2429844480.

The previous prime is 13382148713. The next prime is 13382148817. The reversal of 13382148780 is 8784128331.

13382148780 is a `hidden beast` number, since 13 + 3 + 82 + 1 + 487 + 80 = 666.

13382148780 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 (45).

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 255 ways as a sum of consecutive naturals, for example, 10269609 + ... + 10270911.

It is an arithmetic number, because the mean of its divisors is an integer number (76675200).

Almost surely, 2^13382148780 is an apocalyptic number.

13382148780 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 13382148780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443276800).

13382148780 is an abundant number, since it is smaller than the sum of its proper divisors (45504404820).

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

13382148780 is a wasteful number, since it uses less digits than its factorization.

13382148780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 13382148780 in words is "thirteen billion, three hundred eighty-two million, one hundred forty-eight thousand, seven hundred eighty".