199034982720 has 672 divisors, whose sum is σ = 838521186048. Its totient is φ = 42295689216.

The previous prime is 199034982689. The next prime is 199034982739. The reversal of 199034982720 is 27289430991.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×199034982720² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28442262 + ... + 28449258.

It is an arithmetic number, because the mean of its divisors is an integer number (1247799384).

Almost surely, 2^199034982720 is an apocalyptic number.

199034982720 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 199034982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419260593024).

199034982720 is an abundant number, since it is smaller than the sum of its proper divisors (639486203328).

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

199034982720 is a wasteful number, since it uses less digits than its factorization.

199034982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 199034982720 in words is "one hundred ninety-nine billion, thirty-four million, nine hundred eighty-two thousand, seven hundred twenty".