13142386066500 has 192 divisors, whose sum is σ = 42526128153600. Its totient is φ = 3504371904000.

The previous prime is 13142386066493. The next prime is 13142386066517. The reversal of 13142386066500 is 566068324131.

13142386066500 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 3 + 86 + 0 + 66 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234318460 + ... + 234374540.

It is an arithmetic number, because the mean of its divisors is an integer number (221490250800).

Almost surely, 2^{13142386066500} is an apocalyptic number.

13142386066500 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 13142386066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21263064076800).

13142386066500 is an abundant number, since it is smaller than the sum of its proper divisors (29383742087100).

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

13142386066500 is a wasteful number, since it uses less digits than its factorization.

13142386066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73468 (or 73450 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13142386066500 in words is "thirteen trillion, one hundred forty-two billion, three hundred eighty-six million, sixty-six thousand, five hundred".