13143876480 has 640 divisors, whose sum is σ = 55539000000. Its totient is φ = 2898395136.

The previous prime is 13143876479. The next prime is 13143876497. The reversal of 13143876480 is 8467834131.

13143876480 is a `hidden beast` number, since 131 + 4 + 38 + 7 + 6 + 480 = 666.

13143876480 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 (640).

It is a super-2 number, since 2×13143876480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 10522896 + ... + 10524144.

Almost surely, 2^13143876480 is an apocalyptic number.

13143876480 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 13143876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27769500000).

13143876480 is an abundant number, since it is smaller than the sum of its proper divisors (42395123520).

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

13143876480 is a wasteful number, since it uses less digits than its factorization.

13143876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13143876480 in words is "thirteen billion, one hundred forty-three million, eight hundred seventy-six thousand, four hundred eighty".