19966534560 has 1152 divisors, whose sum is σ = 88484659200. Its totient is φ = 4113192960.

The previous prime is 19966534507. The next prime is 19966534573. The reversal of 19966534560 is 6543566991.

19966534560 is a `hidden beast` number, since 19 + 9 + 6 + 65 + 3 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19966534497 and 19966534506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338415811 + ... + 338415869.

It is an arithmetic number, because the mean of its divisors is an integer number (76809600).

Almost surely, 2^19966534560 is an apocalyptic number.

19966534560 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 19966534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44242329600).

19966534560 is an abundant number, since it is smaller than the sum of its proper divisors (68518124640).

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

19966534560 is a wasteful number, since it uses less digits than its factorization.

19966534560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 19966534560 in words is "nineteen billion, nine hundred sixty-six million, five hundred thirty-four thousand, five hundred sixty".