21271068000 has 1152 divisors, whose sum is σ = 95702390784. Its totient is φ = 4354560000.

The previous prime is 21271067971. The next prime is 21271068001. The reversal of 21271068000 is 86017212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21271068001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140867925 + ... + 140868075.

It is an arithmetic number, because the mean of its divisors is an integer number (83074992).

Almost surely, 2^21271068000 is an apocalyptic number.

21271068000 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 21271068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47851195392).

21271068000 is an abundant number, since it is smaller than the sum of its proper divisors (74431322784).

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

21271068000 is a wasteful number, since it uses less digits than its factorization.

21271068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 21271068000 in words is "twenty-one billion, two hundred seventy-one million, sixty-eight thousand".