199951500672 has 512 divisors, whose sum is σ = 749687270400. Its totient is φ = 50951946240.

The previous prime is 199951500631. The next prime is 199951500673. The reversal of 199951500672 is 276005159991.

199951500672 is a `hidden beast` number, since 19 + 9 + 9 + 51 + 500 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199951500673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14096848 + ... + 14111024.

It is an arithmetic number, because the mean of its divisors is an integer number (1464232950).

Almost surely, 2^199951500672 is an apocalyptic number.

199951500672 is a gapful number since it is divisible by the number (12) 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 199951500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374843635200).

199951500672 is an abundant number, since it is smaller than the sum of its proper divisors (549735769728).

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

199951500672 is a wasteful number, since it uses less digits than its factorization.

199951500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271 (or 14253 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 199951500672 in words is "one hundred ninety-nine billion, nine hundred fifty-one million, five hundred thousand, six hundred seventy-two".