21831402679680 has 512 divisors, whose sum is σ = 77132392819200. Its totient is φ = 5207677009920.

The previous prime is 21831402679663. The next prime is 21831402679717. The reversal of 21831402679680 is 8697620413812.

It is a happy number.

It is a super-2 number, since 2×21831402679680² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21831402679680.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1348525026 + ... + 1348541214.

It is an arithmetic number, because the mean of its divisors is an integer number (150649204725).

Almost surely, 2^{21831402679680} is an apocalyptic number.

21831402679680 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 21831402679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38566196409600).

21831402679680 is an abundant number, since it is smaller than the sum of its proper divisors (55300990139520).

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

21831402679680 is a wasteful number, since it uses less digits than its factorization.

21831402679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17242 (or 17230 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 21831402679680 in words is "twenty-one trillion, eight hundred thirty-one billion, four hundred two million, six hundred seventy-nine thousand, six hundred eighty".