21427666610000 has 200 divisors, whose sum is σ = 60294663781440. Its totient is φ = 7222108032000.

The previous prime is 21427666609927. The next prime is 21427666610023. The reversal of 21427666610000 is 1666672412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 21427666610000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1535852 + ... + 6724148.

Almost surely, 2^{21427666610000} is an apocalyptic number.

21427666610000 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 21427666610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30147331890720).

21427666610000 is an abundant number, since it is smaller than the sum of its proper divisors (38866997171440).

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

21427666610000 is an equidigital number, since it uses as much as digits as its factorization.

21427666610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188391 (or 5188370 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 21427666610000 in words is "twenty-one trillion, four hundred twenty-seven billion, six hundred sixty-six million, six hundred ten thousand".