21635304226272 has 240 divisors, whose sum is σ = 69422596722864. Its totient is φ = 6555271680000.

The previous prime is 21635304226231. The next prime is 21635304226273. The reversal of 21635304226272 is 27262240353612.

21635304226272 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 530 + 42 + 2 + 6 + 2 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21635304226273) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230358522 + ... + 230452422.

Almost surely, 2^{21635304226272} is an apocalyptic number.

21635304226272 is a gapful number since it is divisible by the number (22) 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 21635304226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34711298361432).

21635304226272 is an abundant number, since it is smaller than the sum of its proper divisors (47787292496592).

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

21635304226272 is a wasteful number, since it uses less digits than its factorization.

21635304226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102015 (or 101998 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 21635304226272 its reverse (27262240353612), we get a palindrome (48897544579884).

The spelling of 21635304226272 in words is "twenty-one trillion, six hundred thirty-five billion, three hundred four million, two hundred twenty-six thousand, two hundred seventy-two".