13486404096000 has 4160 divisors, whose sum is σ = 60915172690944. Its totient is φ = 2930245632000.

The previous prime is 13486404095917. The next prime is 13486404096001. The reversal of 13486404096000 is 69040468431.

13486404096000 is a `hidden beast` number, since 1 + 3 + 486 + 40 + 40 + 96 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13486404096001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 286944767977 + ... + 286944768023.

Almost surely, 2^{13486404096000} is an apocalyptic number.

13486404096000 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 13486404096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30457586345472).

13486404096000 is an abundant number, since it is smaller than the sum of its proper divisors (47428768594944).

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

13486404096000 is a wasteful number, since it uses less digits than its factorization.

13486404096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13486404096000 in words is "thirteen trillion, four hundred eighty-six billion, four hundred four million, ninety-six thousand".