21422584512 has 336 divisors, whose sum is σ = 76612739840. Its totient is φ = 5798034432.

The previous prime is 21422584457. The next prime is 21422584517. The reversal of 21422584512 is 21548522412.

21422584512 is a `hidden beast` number, since 2 + 1 + 4 + 22 + 584 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21422584517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063238 + ... + 2073594.

Almost surely, 2^21422584512 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 21422584512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38306369920).

21422584512 is an abundant number, since it is smaller than the sum of its proper divisors (55190155328).

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

21422584512 is a wasteful number, since it uses less digits than its factorization.

21422584512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410 (or 10388 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 21422584512 in words is "twenty-one billion, four hundred twenty-two million, five hundred eighty-four thousand, five hundred twelve".