21306966606900 has 864 divisors, whose sum is σ = 76536111375360. Its totient is φ = 4914694103040.

The previous prime is 21306966606797. The next prime is 21306966606907. The reversal of 21306966606900 is 960666960312.

It is a happy number.

It is a super-2 number, since 2×21306966606900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21306966606907) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9654265597 + ... + 9654267803.

It is an arithmetic number, because the mean of its divisors is an integer number (88583462240).

Almost surely, 2^{21306966606900} is an apocalyptic number.

21306966606900 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 21306966606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38268055687680).

21306966606900 is an abundant number, since it is smaller than the sum of its proper divisors (55229144768460).

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

21306966606900 is a wasteful number, since it uses less digits than its factorization.

21306966606900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 21306966606900 in words is "twenty-one trillion, three hundred six billion, nine hundred sixty-six million, six hundred six thousand, nine hundred".