199040269680 has 1080 divisors, whose sum is σ = 826327513440. Its totient is φ = 44442639360.

The previous prime is 199040269679. The next prime is 199040269693. The reversal of 199040269680 is 86962040991.

199040269680 is a `hidden beast` number, since 19 + 90 + 402 + 69 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1826057466 + ... + 1826057574.

It is an arithmetic number, because the mean of its divisors is an integer number (765118068).

Almost surely, 2^199040269680 is an apocalyptic number.

199040269680 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 199040269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413163756720).

199040269680 is an abundant number, since it is smaller than the sum of its proper divisors (627287243760).

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

199040269680 is an equidigital number, since it uses as much as digits as its factorization.

199040269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 199040269680 in words is "one hundred ninety-nine billion, forty million, two hundred sixty-nine thousand, six hundred eighty".