13146079887360 has 2280 divisors, whose sum is σ = 58008371968800. Its totient is φ = 2846669930496.

The previous prime is 13146079887301. The next prime is 13146079887373. The reversal of 13146079887360 is 6378897064131.

13146079887360 is a `hidden beast` number, since 1 + 3 + 1 + 460 + 7 + 98 + 87 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2280).

It is a super-2 number, since 2×13146079887360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 691898941431 + ... + 691898941449.

Almost surely, 2^{13146079887360} is an apocalyptic number.

13146079887360 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 13146079887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29004185984400).

13146079887360 is an abundant number, since it is smaller than the sum of its proper divisors (44862292081440).

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

13146079887360 is an frugal number, since it uses more digits than its factorization.

13146079887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 13146079887360 in words is "thirteen trillion, one hundred forty-six billion, seventy-nine million, eight hundred eighty-seven thousand, three hundred sixty".