199911370014720 has 2880 divisors, whose sum is σ = 891115519956480. Its totient is φ = 42114509438976.

The previous prime is 199911370014673. The next prime is 199911370014731. The reversal of 199911370014720 is 27410073119991.

199911370014720 is a `hidden beast` number, since 1 + 9 + 9 + 91 + 13 + 70 + 0 + 1 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×199911370014720² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306142985914 + ... + 306142986566.

It is an arithmetic number, because the mean of its divisors is an integer number (309415111096).

Almost surely, 2^{199911370014720} is an apocalyptic number.

199911370014720 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 199911370014720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445557759978240).

199911370014720 is an abundant number, since it is smaller than the sum of its proper divisors (691204149941760).

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

199911370014720 is an frugal number, since it uses more digits than its factorization.

199911370014720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 199911370014720 in words is "one hundred ninety-nine trillion, nine hundred eleven billion, three hundred seventy million, fourteen thousand, seven hundred twenty".