21771617064000 has 448 divisors, whose sum is σ = 74426272727040. Its totient is φ = 5601237196800.

The previous prime is 21771617063929. The next prime is 21771617064151. The reversal of 21771617064000 is 46071617712.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955596609 + ... + 955619391.

Almost surely, 2^{21771617064000} is an apocalyptic number.

21771617064000 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 21771617064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37213136363520).

21771617064000 is an abundant number, since it is smaller than the sum of its proper divisors (52654655663040).

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

21771617064000 is a wasteful number, since it uses less digits than its factorization.

21771617064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24215 (or 24195 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 21771617064000 in words is "twenty-one trillion, seven hundred seventy-one billion, six hundred seventeen million, sixty-four thousand".