21699710760 has 768 divisors, whose sum is σ = 87516979200. Its totient is φ = 4253534208.

The previous prime is 21699710749. The next prime is 21699710761. The reversal of 21699710760 is 6701799612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21699710761) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 97308009 + ... + 97308231.

It is an arithmetic number, because the mean of its divisors is an integer number (113954400).

Almost surely, 2^21699710760 is an apocalyptic number.

21699710760 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 21699710760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43758489600).

21699710760 is an abundant number, since it is smaller than the sum of its proper divisors (65817268440).

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

21699710760 is a wasteful number, since it uses less digits than its factorization.

21699710760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 21699710760 in words is "twenty-one billion, six hundred ninety-nine million, seven hundred ten thousand, seven hundred sixty".