21679446096 has 480 divisors, whose sum is σ = 78844953600. Its totient is φ = 5582649600.

The previous prime is 21679446079. The next prime is 21679446097. The reversal of 21679446096 is 69064497612.

It is a happy number.

21679446096 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 94 + 460 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21679446097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65496651 + ... + 65496981.

It is an arithmetic number, because the mean of its divisors is an integer number (164260320).

Almost surely, 2^21679446096 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 21679446096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39422476800).

21679446096 is an abundant number, since it is smaller than the sum of its proper divisors (57165507504).

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

21679446096 is a wasteful number, since it uses less digits than its factorization.

21679446096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

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

The spelling of 21679446096 in words is "twenty-one billion, six hundred seventy-nine million, four hundred forty-six thousand, ninety-six".