199935630458172 has 72 divisors (see below), whose sum is σ = 611567810826336. Its totient is φ = 53764203147264.

The previous prime is 199935630458171. The next prime is 199935630458233. The reversal of 199935630458172 is 271854036539991.

199935630458172 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 3 + 5 + 6 + 30 + 4 + 581 + 7 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199935630458172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199935630458171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23335153333 + ... + 23335161900.

It is an arithmetic number, because the mean of its divisors is an integer number (8493997372588).

It is a 1-persistent number, because it is pandigital, but 2⋅199935630458172 = 399871260916344 is not.

Almost surely, 2^{199935630458172} is an apocalyptic number.

199935630458172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199935630458172 is an abundant number, since it is smaller than the sum of its proper divisors (411632180368164).

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

199935630458172 is a wasteful number, since it uses less digits than its factorization.

199935630458172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46670315267 (or 46670315262 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 199935630458172 in words is "one hundred ninety-nine trillion, nine hundred thirty-five billion, six hundred thirty million, four hundred fifty-eight thousand, one hundred seventy-two".