21271365236000 has 192 divisors, whose sum is σ = 57020463392256. Its totient is φ = 7734299904000.

The previous prime is 21271365235997. The next prime is 21271365236029. The reversal of 21271365236000 is 63256317212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696196724 + ... + 696227276.

It is an arithmetic number, because the mean of its divisors is an integer number (296981580168).

Almost surely, 2^{21271365236000} is an apocalyptic number.

21271365236000 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 21271365236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28510231696128).

21271365236000 is an abundant number, since it is smaller than the sum of its proper divisors (35749098156256).

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

21271365236000 is a wasteful number, since it uses less digits than its factorization.

21271365236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46412 (or 46394 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 21271365236000 in words is "twenty-one trillion, two hundred seventy-one billion, three hundred sixty-five million, two hundred thirty-six thousand".