21282006096 has 560 divisors, whose sum is σ = 71723534400. Its totient is φ = 6060054528.

The previous prime is 21282006073. The next prime is 21282006113. The reversal of 21282006096 is 69060028212.

It is a happy number.

21282006096 is a `hidden beast` number, since 2 + 1 + 28 + 20 + 0 + 609 + 6 = 666.

It is a super-2 number, since 2×21282006096² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21282006096.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 239123620 + ... + 239123708.

It is an arithmetic number, because the mean of its divisors is an integer number (128077740).

Almost surely, 2^21282006096 is an apocalyptic number.

21282006096 is a gapful number since it is divisible by the number (26) 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 21282006096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35861767200).

21282006096 is an abundant number, since it is smaller than the sum of its proper divisors (50441528304).

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

21282006096 is a wasteful number, since it uses less digits than its factorization.

21282006096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21282006096 in words is "twenty-one billion, two hundred eighty-two million, six thousand, ninety-six".