21829656960 has 384 divisors, whose sum is σ = 80167838400. Its totient is φ = 5461327872.

The previous prime is 21829656941. The next prime is 21829656991. The reversal of 21829656960 is 6965692812.

It is a happy number.

21829656960 is a `hidden beast` number, since 2 + 18 + 2 + 9 + 6 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 21829656897 and 21829656906.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7019886 + ... + 7022994.

Almost surely, 2^21829656960 is an apocalyptic number.

21829656960 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 21829656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40083919200).

21829656960 is an abundant number, since it is smaller than the sum of its proper divisors (58338181440).

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

21829656960 is a wasteful number, since it uses less digits than its factorization.

21829656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 21829656960 in words is "twenty-one billion, eight hundred twenty-nine million, six hundred fifty-six thousand, nine hundred sixty".