21213283824 has 120 divisors (see below), whose sum is σ = 62038103712. Its totient is φ = 6753922560.

The previous prime is 21213283807. The next prime is 21213283841. The reversal of 21213283824 is 42838231212.

It is an interprime number because it is at equal distance from previous prime (21213283807) and next prime (21213283841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 2502954 + ... + 2511414.

Almost surely, 2^21213283824 is an apocalyptic number.

21213283824 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 21213283824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31019051856).

21213283824 is an abundant number, since it is smaller than the sum of its proper divisors (40824819888).

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

21213283824 is a wasteful number, since it uses less digits than its factorization.

21213283824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9246 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 21213283824 in words is "twenty-one billion, two hundred thirteen million, two hundred eighty-three thousand, eight hundred twenty-four".