21179676672 has 288 divisors, whose sum is σ = 76269997440. Its totient is φ = 5500846080.

The previous prime is 21179676649. The next prime is 21179676709. The reversal of 21179676672 is 27667697112.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1411803 + ... + 1426725.

It is an arithmetic number, because the mean of its divisors is an integer number (264826380).

Almost surely, 2^21179676672 is an apocalyptic number.

21179676672 is a gapful number since it is divisible by the number (22) 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 21179676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38134998720).

21179676672 is an abundant number, since it is smaller than the sum of its proper divisors (55090320768).

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

21179676672 is a wasteful number, since it uses less digits than its factorization.

21179676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14969 (or 14946 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 21179676672 in words is "twenty-one billion, one hundred seventy-nine million, six hundred seventy-six thousand, six hundred seventy-two".