19138867200 has 468 divisors, whose sum is σ = 72225289240. Its totient is φ = 4830658560.

The previous prime is 19138867127. The next prime is 19138867207. The reversal of 19138867200 is 276883191.

19138867200 is a `hidden beast` number, since 1 + 9 + 1 + 388 + 67 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19138867207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17509854 + ... + 17510946.

Almost surely, 2^19138867200 is an apocalyptic number.

19138867200 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 19138867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36112644620).

19138867200 is an abundant number, since it is smaller than the sum of its proper divisors (53086422040).

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

19138867200 is a wasteful number, since it uses less digits than its factorization.

19138867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 19138867200 in words is "nineteen billion, one hundred thirty-eight million, eight hundred sixty-seven thousand, two hundred".