21766804469760 has 768 divisors, whose sum is σ = 81728239057920. Its totient is φ = 4842974085120.

The previous prime is 21766804469749. The next prime is 21766804469791. The reversal of 21766804469760 is 6796440866712.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 21766804469691 and 21766804469700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1272383127 + ... + 1272400233.

It is an arithmetic number, because the mean of its divisors is an integer number (106416977940).

Almost surely, 2^{21766804469760} is an apocalyptic number.

21766804469760 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 21766804469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40864119528960).

21766804469760 is an abundant number, since it is smaller than the sum of its proper divisors (59961434588160).

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

21766804469760 is a wasteful number, since it uses less digits than its factorization.

21766804469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17302 (or 17282 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 21766804469760 in words is "twenty-one trillion, seven hundred sixty-six billion, eight hundred four million, four hundred sixty-nine thousand, seven hundred sixty".