13379067150480 has 720 divisors, whose sum is σ = 49316354979840. Its totient is φ = 3240506142720.

The previous prime is 13379067150479. The next prime is 13379067150521. The reversal of 13379067150480 is 8405176097331.

13379067150480 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 9 + 0 + 6 + 7 + 150 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1786969297 + ... + 1786976783.

It is an arithmetic number, because the mean of its divisors is an integer number (68494937472).

Almost surely, 2^{13379067150480} is an apocalyptic number.

13379067150480 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 13379067150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24658177489920).

13379067150480 is an abundant number, since it is smaller than the sum of its proper divisors (35937287829360).

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

13379067150480 is a wasteful number, since it uses less digits than its factorization.

13379067150480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13379067150480 in words is "thirteen trillion, three hundred seventy-nine billion, sixty-seven million, one hundred fifty thousand, four hundred eighty".