21625543368 has 768 divisors, whose sum is σ = 76988620800. Its totient is φ = 5386106880.

The previous prime is 21625543361. The next prime is 21625543421. The reversal of 21625543368 is 86334552612.

21625543368 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 554 + 33 + 68 = 666.

It is a super-2 number, since 2×21625543368² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21625543361) 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 191 ways as a sum of consecutive naturals, for example, 322769271 + ... + 322769337.

It is an arithmetic number, because the mean of its divisors is an integer number (100245600).

Almost surely, 2^21625543368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21625543368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38494310400).

21625543368 is an abundant number, since it is smaller than the sum of its proper divisors (55363077432).

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

21625543368 is a wasteful number, since it uses less digits than its factorization.

21625543368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 21625543368 in words is "twenty-one billion, six hundred twenty-five million, five hundred forty-three thousand, three hundred sixty-eight".