199299093073920 has 1872 divisors, whose sum is σ = 813238007315760. Its totient is φ = 45012026916864.

The previous prime is 199299093073897. The next prime is 199299093073933. The reversal of 199299093073920 is 29370390992991.

199299093073920 is a `hidden beast` number, since 1 + 9 + 9 + 299 + 0 + 9 + 307 + 3 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6882689286144 + 192416403787776 = 2623488^2 + 13871424^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 357808066282 + ... + 357808066838.

It is an arithmetic number, because the mean of its divisors is an integer number (434422012455).

Almost surely, 2^{199299093073920} is an apocalyptic number.

199299093073920 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 199299093073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406619003657880).

199299093073920 is an abundant number, since it is smaller than the sum of its proper divisors (613938914241840).

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

199299093073920 is a wasteful number, since it uses less digits than its factorization.

199299093073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 133923132, while the sum is 72.

The spelling of 199299093073920 in words is "one hundred ninety-nine trillion, two hundred ninety-nine billion, ninety-three million, seventy-three thousand, nine hundred twenty".