21727272312 has 384 divisors, whose sum is σ = 67038566400. Its totient is φ = 6326553600.

The previous prime is 21727272289. The next prime is 21727272353. The reversal of 21727272312 is 21327272712.

21727272312 is a `hidden beast` number, since 2 + 1 + 7 + 272 + 72 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95714743 + ... + 95714969.

It is an arithmetic number, because the mean of its divisors is an integer number (174579600).

Almost surely, 2^21727272312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21727272312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33519283200).

21727272312 is an abundant number, since it is smaller than the sum of its proper divisors (45311294088).

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

21727272312 is a wasteful number, since it uses less digits than its factorization.

21727272312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The spelling of 21727272312 in words is "twenty-one billion, seven hundred twenty-seven million, two hundred seventy-two thousand, three hundred twelve".