19825138688 has 176 divisors, whose sum is σ = 44259415200. Its totient is φ = 8835563520.

The previous prime is 19825138687. The next prime is 19825138703. The reversal of 19825138688 is 88683152891.

It is a super-2 number, since 2×19825138688² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19825138687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23132756 + ... + 23133612.

It is an arithmetic number, because the mean of its divisors is an integer number (251473950).

Almost surely, 2^19825138688 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 19825138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129707600).

19825138688 is an abundant number, since it is smaller than the sum of its proper divisors (24434276512).

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

19825138688 is a wasteful number, since it uses less digits than its factorization.

19825138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 948 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 59.

The spelling of 19825138688 in words is "nineteen billion, eight hundred twenty-five million, one hundred thirty-eight thousand, six hundred eighty-eight".