13196161800 has 288 divisors, whose sum is σ = 45603866880. Its totient is φ = 3417984000.

The previous prime is 13196161793. The next prime is 13196161831. The reversal of 13196161800 is 816169131.

It is a happy number.

13196161800 is a `hidden beast` number, since 1 + 31 + 9 + 6 + 1 + 618 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12774084 + ... + 12775116.

It is an arithmetic number, because the mean of its divisors is an integer number (158346760).

Almost surely, 2^13196161800 is an apocalyptic number.

13196161800 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 13196161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22801933440).

13196161800 is an abundant number, since it is smaller than the sum of its proper divisors (32407705080).

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

13196161800 is a wasteful number, since it uses less digits than its factorization.

13196161800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 13196161800 in words is "thirteen billion, one hundred ninety-six million, one hundred sixty-one thousand, eight hundred".