8350199134200 has 1728 divisors, whose sum is σ = 36658893323520. Its totient is φ = 1732565894400.

The previous prime is 8350199134117. The next prime is 8350199134213. The reversal of 8350199134200 is 24319910538.

It is a happy number.

8350199134200 is a `hidden beast` number, since 8 + 3 + 501 + 9 + 9 + 134 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12225767059 + ... + 12225767741.

It is an arithmetic number, because the mean of its divisors is an integer number (21214637340).

Almost surely, 2^{8350199134200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8350199134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329446661760).

8350199134200 is an abundant number, since it is smaller than the sum of its proper divisors (28308694189320).

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

8350199134200 is an equidigital number, since it uses as much as digits as its factorization.

8350199134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 8350199134200 in words is "eight trillion, three hundred fifty billion, one hundred ninety-nine million, one hundred thirty-four thousand, two hundred".