199553340096 has 224 divisors, whose sum is σ = 640460390400. Its totient is φ = 60425487360.

The previous prime is 199553340031. The next prime is 199553340121. The reversal of 199553340096 is 690043355991.

199553340096 is a `hidden beast` number, since 19 + 9 + 5 + 533 + 4 + 0 + 0 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32481601 + ... + 32487743.

Almost surely, 2^199553340096 is an apocalyptic number.

199553340096 is a gapful number since it is divisible by the number (16) 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 199553340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320230195200).

199553340096 is an abundant number, since it is smaller than the sum of its proper divisors (440907050304).

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

199553340096 is a wasteful number, since it uses less digits than its factorization.

199553340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 199553340096 in words is "one hundred ninety-nine billion, five hundred fifty-three million, three hundred forty thousand, ninety-six".