19287869952 has 240 divisors, whose sum is σ = 56522141280. Its totient is φ = 5840879616.

The previous prime is 19287869921. The next prime is 19287869959. The reversal of 19287869952 is 25996878291.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19287869959) 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, 17391574 + ... + 17392682.

It is an arithmetic number, because the mean of its divisors is an integer number (235508922).

Almost surely, 2^19287869952 is an apocalyptic number.

19287869952 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 19287869952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28261070640).

19287869952 is an abundant number, since it is smaller than the sum of its proper divisors (37234271328).

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

19287869952 is a wasteful number, since it uses less digits than its factorization.

19287869952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1194 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 66.

The spelling of 19287869952 in words is "nineteen billion, two hundred eighty-seven million, eight hundred sixty-nine thousand, nine hundred fifty-two".