21313843824 has 240 divisors, whose sum is σ = 68856926208. Its totient is φ = 5532240384.

The previous prime is 21313843813. The next prime is 21313843829. The reversal of 21313843824 is 42834831312.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313843829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19607409 + ... + 19608495.

Almost surely, 2^21313843824 is an apocalyptic number.

21313843824 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 21313843824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34428463104).

21313843824 is an abundant number, since it is smaller than the sum of its proper divisors (47543082384).

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

21313843824 is a wasteful number, since it uses less digits than its factorization.

21313843824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1179 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 21313843824 in words is "twenty-one billion, three hundred thirteen million, eight hundred forty-three thousand, eight hundred twenty-four".