19689388225920 has 2048 divisors, whose sum is σ = 84311094067200. Its totient is φ = 4248935792640.

The previous prime is 19689388225847. The next prime is 19689388225931. The reversal of 19689388225920 is 2952288398691.

19689388225920 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 9 + 3 + 8 + 8 + 22 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27083064597 + ... + 27083065323.

It is an arithmetic number, because the mean of its divisors is an integer number (41167526400).

Almost surely, 2^{19689388225920} is an apocalyptic number.

19689388225920 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 19689388225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155547033600).

19689388225920 is an abundant number, since it is smaller than the sum of its proper divisors (64621705841280).

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

19689388225920 is a wasteful number, since it uses less digits than its factorization.

19689388225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 19689388225920 in words is "nineteen trillion, six hundred eighty-nine billion, three hundred eighty-eight million, two hundred twenty-five thousand, nine hundred twenty".