199751215104 has 720 divisors, whose sum is σ = 708518210400. Its totient is φ = 54922199040.

The previous prime is 199751215049. The next prime is 199751215121. The reversal of 199751215104 is 401512157991.

199751215104 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 5 + 121 + 510 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199751215104.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1115928487 + ... + 1115928665.

It is an arithmetic number, because the mean of its divisors is an integer number (984053070).

Almost surely, 2^199751215104 is an apocalyptic number.

199751215104 is a gapful number since it is divisible by the number (14) 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 199751215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354259105200).

199751215104 is an abundant number, since it is smaller than the sum of its proper divisors (508766995296).

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

199751215104 is an equidigital number, since it uses as much as digits as its factorization.

199751215104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The spelling of 199751215104 in words is "one hundred ninety-nine billion, seven hundred fifty-one million, two hundred fifteen thousand, one hundred four".