199382238720 has 1440 divisors, whose sum is σ = 863950703616. Its totient is φ = 43893964800.

The previous prime is 199382238691. The next prime is 199382238743. The reversal of 199382238720 is 27832283991.

199382238720 is a `hidden beast` number, since 1 + 9 + 9 + 382 + 238 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 944939415 + ... + 944939625.

Almost surely, 2^199382238720 is an apocalyptic number.

199382238720 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 199382238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431975351808).

199382238720 is an abundant number, since it is smaller than the sum of its proper divisors (664568464896).

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

199382238720 is an equidigital number, since it uses as much as digits as its factorization.

199382238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 199382238720 in words is "one hundred ninety-nine billion, three hundred eighty-two million, two hundred thirty-eight thousand, seven hundred twenty".