19644340026960 has 960 divisors, whose sum is σ = 75008676637440. Its totient is φ = 4565569536000.

The previous prime is 19644340026959. The next prime is 19644340026991. The reversal of 19644340026960 is 6962004344691.

19644340026960 is a `hidden beast` number, since 1 + 96 + 4 + 43 + 400 + 26 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19644340026897 and 19644340026906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11770125006 + ... + 11770126674.

It is an arithmetic number, because the mean of its divisors is an integer number (78134038164).

Almost surely, 2^{19644340026960} is an apocalyptic number.

19644340026960 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 19644340026960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37504338318720).

19644340026960 is an abundant number, since it is smaller than the sum of its proper divisors (55364336610480).

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

19644340026960 is a wasteful number, since it uses less digits than its factorization.

19644340026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 19644340026960 in words is "nineteen trillion, six hundred forty-four billion, three hundred forty million, twenty-six thousand, nine hundred sixty".