21322735104 has 320 divisors, whose sum is σ = 65870069760. Its totient is φ = 6061547520.

The previous prime is 21322735087. The next prime is 21322735111. The reversal of 21322735104 is 40153722312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40769787 + ... + 40770309.

It is an arithmetic number, because the mean of its divisors is an integer number (205843968).

Almost surely, 2^21322735104 is an apocalyptic number.

21322735104 is a gapful number since it is divisible by the number (24) 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 21322735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32935034880).

21322735104 is an abundant number, since it is smaller than the sum of its proper divisors (44547334656).

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

21322735104 is a wasteful number, since it uses less digits than its factorization.

21322735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 21322735104 in words is "twenty-one billion, three hundred twenty-two million, seven hundred thirty-five thousand, one hundred four".