21755055712 has 96 divisors (see below), whose sum is σ = 46559016000. Its totient is φ = 9946810368.

The previous prime is 21755055683. The next prime is 21755055733.

It is a happy number.

21755055712 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26242114 + ... + 26242942.

It is an arithmetic number, because the mean of its divisors is an integer number (484989750).

Almost surely, 2^21755055712 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 21755055712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279508000).

21755055712 is an abundant number, since it is smaller than the sum of its proper divisors (24803960288).

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

21755055712 is a wasteful number, since it uses less digits than its factorization.

21755055712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 122500, while the sum is 40.

The spelling of 21755055712 in words is "twenty-one billion, seven hundred fifty-five million, fifty-five thousand, seven hundred twelve".