21072283584 has 168 divisors, whose sum is σ = 61527561984. Its totient is φ = 6360076800.

The previous prime is 21072283553. The next prime is 21072283669. The reversal of 21072283584 is 48538227012.

It is a super-2 number, since 2×21072283584² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6294199 + ... + 6297545.

It is an arithmetic number, because the mean of its divisors is an integer number (366235488).

Almost surely, 2^21072283584 is an apocalyptic number.

21072283584 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 21072283584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30763780992).

21072283584 is an abundant number, since it is smaller than the sum of its proper divisors (40455278400).

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

21072283584 is a wasteful number, since it uses less digits than its factorization.

21072283584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 21072283584 in words is "twenty-one billion, seventy-two million, two hundred eighty-three thousand, five hundred eighty-four".