19827429024 has 192 divisors, whose sum is σ = 60259368960. Its totient is φ = 5656366080.

The previous prime is 19827429019. The next prime is 19827429031. The reversal of 19827429024 is 42092472891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1105569 + ... + 1123359.

It is an arithmetic number, because the mean of its divisors is an integer number (313850880).

Almost surely, 2^19827429024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19827429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30129684480).

19827429024 is an abundant number, since it is smaller than the sum of its proper divisors (40431939936).

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

19827429024 is a wasteful number, since it uses less digits than its factorization.

19827429024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17883 (or 17875 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 19827429024 in words is "nineteen billion, eight hundred twenty-seven million, four hundred twenty-nine thousand, twenty-four".