19995879200 has 288 divisors, whose sum is σ = 54553383360. Its totient is φ = 7155456000.

The previous prime is 19995879187. The next prime is 19995879209. The reversal of 19995879200 is 297859991.

It is a self number, because there is not a number n which added to its sum of digits gives 19995879200.

It is not an unprimeable number, because it can be changed into a prime (19995879209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94767095 + ... + 94767305.

It is an arithmetic number, because the mean of its divisors is an integer number (189421470).

Almost surely, 2^19995879200 is an apocalyptic number.

19995879200 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 19995879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276691680).

19995879200 is an abundant number, since it is smaller than the sum of its proper divisors (34557504160).

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

19995879200 is a wasteful number, since it uses less digits than its factorization.

19995879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 59.

The spelling of 19995879200 in words is "nineteen billion, nine hundred ninety-five million, eight hundred seventy-nine thousand, two hundred".