21336105024 has 420 divisors, whose sum is σ = 71967533484. Its totient is φ = 6212339712.

The previous prime is 21336104989. The next prime is 21336105067. The reversal of 21336105024 is 42050163312.

21336105024 is a `hidden beast` number, since 21 + 3 + 3 + 610 + 5 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10526760000 + 10809345024 = 102600^2 + 103968^2 .

It is a super-3 number, since 3×21336105024³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24328074 + ... + 24328950.

Almost surely, 2^21336105024 is an apocalyptic number.

21336105024 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 21336105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35983766742).

21336105024 is an abundant number, since it is smaller than the sum of its proper divisors (50631428460).

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

21336105024 is a wasteful number, since it uses less digits than its factorization.

21336105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21336105024 its reverse (42050163312), we get a palindrome (63386268336).

The spelling of 21336105024 in words is "twenty-one billion, three hundred thirty-six million, one hundred five thousand, twenty-four".