21301992576000 has 1408 divisors, whose sum is σ = 83184708672000. Its totient is φ = 5361500160000.

The previous prime is 21301992575977. The next prime is 21301992576001. The reversal of 21301992576000 is 67529910312.

It is a happy number.

21301992576000 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 19 + 9 + 25 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301992576001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26331263596 + ... + 26331264404.

Almost surely, 2^{21301992576000} is an apocalyptic number.

21301992576000 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 21301992576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41592354336000).

21301992576000 is an abundant number, since it is smaller than the sum of its proper divisors (61882716096000).

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

21301992576000 is a wasteful number, since it uses less digits than its factorization.

21301992576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 21301992576000 in words is "twenty-one trillion, three hundred one billion, nine hundred ninety-two million, five hundred seventy-six thousand".