19825689312 has 432 divisors, whose sum is σ = 67526025840. Its totient is φ = 5480386560.

The previous prime is 19825689283. The next prime is 19825689329. The reversal of 19825689312 is 21398652891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48473364 + ... + 48473772.

It is an arithmetic number, because the mean of its divisors is an integer number (156310245).

Almost surely, 2^19825689312 is an apocalyptic number.

19825689312 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 19825689312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33763012920).

19825689312 is an abundant number, since it is smaller than the sum of its proper divisors (47700336528).

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

19825689312 is a wasteful number, since it uses less digits than its factorization.

19825689312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 545 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 19825689312 in words is "nineteen billion, eight hundred twenty-five million, six hundred eighty-nine thousand, three hundred twelve".