13195564200 has 480 divisors, whose sum is σ = 56412639360. Its totient is φ = 2783808000.

The previous prime is 13195564199. The next prime is 13195564223. The reversal of 13195564200 is 246559131.

13195564200 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 5 + 5 + 642 + 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 119 ways as a sum of consecutive naturals, for example, 1469725 + ... + 1478675.

It is an arithmetic number, because the mean of its divisors is an integer number (117526332).

Almost surely, 2^13195564200 is an apocalyptic number.

13195564200 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 13195564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28206319680).

13195564200 is an abundant number, since it is smaller than the sum of its proper divisors (43217075160).

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

13195564200 is a wasteful number, since it uses less digits than its factorization.

13195564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13195564200 in words is "thirteen billion, one hundred ninety-five million, five hundred sixty-four thousand, two hundred".