21369262824 has 384 divisors, whose sum is σ = 73141985280. Its totient is φ = 5486745600.

The previous prime is 21369262823. The next prime is 21369262841. The reversal of 21369262824 is 42826296312.

21369262824 is a `hidden beast` number, since 2 + 1 + 369 + 2 + 6 + 282 + 4 = 666.

It is a super-3 number, since 3×21369262824³ (a number of 32 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21369262824.

It is not an unprimeable number, because it can be changed into a prime (21369262823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50758134 + ... + 50758554.

It is an arithmetic number, because the mean of its divisors is an integer number (190473920).

Almost surely, 2^21369262824 is an apocalyptic number.

21369262824 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 21369262824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36570992640).

21369262824 is an abundant number, since it is smaller than the sum of its proper divisors (51772722456).

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

21369262824 is a wasteful number, since it uses less digits than its factorization.

21369262824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 21369262824 in words is "twenty-one billion, three hundred sixty-nine million, two hundred sixty-two thousand, eight hundred twenty-four".