21794466960 has 640 divisors, whose sum is σ = 91422720000. Its totient is φ = 4761275904.

The previous prime is 21794466959. The next prime is 21794466989. The reversal of 21794466960 is 6966449712.

It is a happy number.

21794466960 is a `hidden beast` number, since 2 + 1 + 7 + 94 + 466 + 96 + 0 = 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 = 21794466897 and 21794466906.

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 127 ways as a sum of consecutive naturals, for example, 17039601 + ... + 17040879.

It is an arithmetic number, because the mean of its divisors is an integer number (142848000).

Almost surely, 2^21794466960 is an apocalyptic number.

21794466960 is a gapful number since it is divisible by the number (20) 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 21794466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711360000).

21794466960 is an abundant number, since it is smaller than the sum of its proper divisors (69628253040).

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

21794466960 is a wasteful number, since it uses less digits than its factorization.

21794466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 21794466960 in words is "twenty-one billion, seven hundred ninety-four million, four hundred sixty-six thousand, nine hundred sixty".