20911120269312 has 1920 divisors, whose sum is σ = 75760910991360. Its totient is φ = 4979718881280.

The previous prime is 20911120269307. The next prime is 20911120269397. The reversal of 20911120269312 is 21396202111902.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 251941208023 + ... + 251941208105.

It is an arithmetic number, because the mean of its divisors is an integer number (39458807808).

Almost surely, 2^{20911120269312} 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 20911120269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37880455495680).

20911120269312 is an abundant number, since it is smaller than the sum of its proper divisors (54849790722048).

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

20911120269312 is a wasteful number, since it uses less digits than its factorization.

20911120269312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 20911120269312 in words is "twenty trillion, nine hundred eleven billion, one hundred twenty million, two hundred sixty-nine thousand, three hundred twelve".