13395980506500 has 576 divisors, whose sum is σ = 43725460746240. Its totient is φ = 3451169030400.

The previous prime is 13395980506483. The next prime is 13395980506523. The reversal of 13395980506500 is 560508959331.

It is a happy number.

13395980506500 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 5 + 9 + 80 + 50 + 6 + 500 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3157193379 + ... + 3157197621.

It is an arithmetic number, because the mean of its divisors is an integer number (75912258240).

Almost surely, 2^{13395980506500} is an apocalyptic number.

13395980506500 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 13395980506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21862730373120).

13395980506500 is an abundant number, since it is smaller than the sum of its proper divisors (30329480239740).

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

13395980506500 is a wasteful number, since it uses less digits than its factorization.

13395980506500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4537 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 54.

The spelling of 13395980506500 in words is "thirteen trillion, three hundred ninety-five billion, nine hundred eighty million, five hundred six thousand, five hundred".