199005286803840 has 2560 divisors, whose sum is σ = 854260554470400. Its totient is φ = 43579839283200.

The previous prime is 199005286803811. The next prime is 199005286803877. The reversal of 199005286803840 is 48308682500991.

199005286803840 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 0 + 528 + 68 + 0 + 3 + 8 + 40 = 666.

It is a super-2 number, since 2×199005286803840² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92949689170 + ... + 92949691310.

It is an arithmetic number, because the mean of its divisors is an integer number (333695529090).

Almost surely, 2^{199005286803840} is an apocalyptic number.

199005286803840 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 199005286803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427130277235200).

199005286803840 is an abundant number, since it is smaller than the sum of its proper divisors (655255267666560).

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

199005286803840 is a wasteful number, since it uses less digits than its factorization.

199005286803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 199005286803840 in words is "one hundred ninety-nine trillion, five billion, two hundred eighty-six million, eight hundred three thousand, eight hundred forty".