13161250016200 has 384 divisors, whose sum is σ = 36325871245440. Its totient is φ = 4371609600000.

The previous prime is 13161250016141. The next prime is 13161250016227. The reversal of 13161250016200 is 261005216131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3675298410 + ... + 3675301990.

It is an arithmetic number, because the mean of its divisors is an integer number (94598623035).

Almost surely, 2^{13161250016200} is an apocalyptic number.

13161250016200 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 13161250016200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162935622720).

13161250016200 is an abundant number, since it is smaller than the sum of its proper divisors (23164621229240).

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

13161250016200 is a wasteful number, since it uses less digits than its factorization.

13161250016200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 13161250016200 in words is "thirteen trillion, one hundred sixty-one billion, two hundred fifty million, sixteen thousand, two hundred".