199205038942992 has 400 divisors, whose sum is σ = 591576500877120. Its totient is φ = 64695467003904.

The previous prime is 199205038942951. The next prime is 199205038942993. The reversal of 199205038942992 is 299249830502991.

199205038942992 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 0 + 503 + 8 + 9 + 4 + 29 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199205038942992.

It is not an unprimeable number, because it can be changed into a prime (199205038942993) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9455775243 + ... + 9455796309.

Almost surely, 2^{199205038942992} is an apocalyptic number.

199205038942992 is a gapful number since it is divisible by the number (12) 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 199205038942992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295788250438560).

199205038942992 is an abundant number, since it is smaller than the sum of its proper divisors (392371461934128).

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

199205038942992 is a wasteful number, since it uses less digits than its factorization.

199205038942992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22372 (or 22357 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 199205038942992 in words is "one hundred ninety-nine trillion, two hundred five billion, thirty-eight million, nine hundred forty-two thousand, nine hundred ninety-two".