21013220523288 has 128 divisors (see below), whose sum is σ = 61026344755200. Its totient is φ = 5905192132224.

The previous prime is 21013220523227. The next prime is 21013220523289. The reversal of 21013220523288 is 88232502231012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21013220523289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6001281 + ... + 8834127.

It is an arithmetic number, because the mean of its divisors is an integer number (476768318400).

Almost surely, 2^{21013220523288} is an apocalyptic number.

21013220523288 is a gapful number since it is divisible by the number (28) 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 21013220523288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30513172377600).

21013220523288 is an abundant number, since it is smaller than the sum of its proper divisors (40013124231912).

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

21013220523288 is a wasteful number, since it uses less digits than its factorization.

21013220523288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833589 (or 2833585 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 21013220523288 in words is "twenty-one trillion, thirteen billion, two hundred twenty million, five hundred twenty-three thousand, two hundred eighty-eight".