13580734464000 has 1536 divisors, whose sum is σ = 54084884181120. Its totient is φ = 3251109888000.

The previous prime is 13580734463999. The next prime is 13580734464041. The reversal of 13580734464000 is 46443708531.

13580734464000 is a `hidden beast` number, since 1 + 3 + 580 + 7 + 3 + 4 + 4 + 64 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43388927844 + ... + 43388928156.

Almost surely, 2^{13580734464000} is an apocalyptic number.

13580734464000 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 13580734464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042442090560).

13580734464000 is an abundant number, since it is smaller than the sum of its proper divisors (40504149717120).

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

13580734464000 is a wasteful number, since it uses less digits than its factorization.

13580734464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13580734464000 in words is "thirteen trillion, five hundred eighty billion, seven hundred thirty-four million, four hundred sixty-four thousand".