19429138560 has 512 divisors, whose sum is σ = 71621625600. Its totient is φ = 4439605248.

The previous prime is 19429138523. The next prime is 19429138607. The reversal of 19429138560 is 6583192491.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25134334 + ... + 25135106.

Almost surely, 2^19429138560 is an apocalyptic number.

19429138560 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 19429138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35810812800).

19429138560 is an abundant number, since it is smaller than the sum of its proper divisors (52192487040).

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

19429138560 is a wasteful number, since it uses less digits than its factorization.

19429138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 19429138560 in words is "nineteen billion, four hundred twenty-nine million, one hundred thirty-eight thousand, five hundred sixty".