21323436288 has 288 divisors, whose sum is σ = 71403558912. Its totient is φ = 5487820800.

The previous prime is 21323436263. The next prime is 21323436289. The reversal of 21323436288 is 88263432312.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (21323436289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6680773 + ... + 6683963.

It is an arithmetic number, because the mean of its divisors is an integer number (247929024).

Almost surely, 2^21323436288 is an apocalyptic number.

21323436288 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 21323436288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35701779456).

21323436288 is an abundant number, since it is smaller than the sum of its proper divisors (50080122624).

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

21323436288 is a wasteful number, since it uses less digits than its factorization.

21323436288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3327 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 21323436288 in words is "twenty-one billion, three hundred twenty-three million, four hundred thirty-six thousand, two hundred eighty-eight".