21825286550208 has 224 divisors, whose sum is σ = 64626982963200. Its totient is φ = 7222515959808.

The previous prime is 21825286550201. The next prime is 21825286550233. The reversal of 21825286550208 is 80205568252812.

It is a happy number.

21825286550208 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 5 + 2 + 86 + 550 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21825286550201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233411241 + ... + 233504727.

It is an arithmetic number, because the mean of its divisors is an integer number (288513316800).

Almost surely, 2^{21825286550208} 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 21825286550208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313491481600).

21825286550208 is an abundant number, since it is smaller than the sum of its proper divisors (42801696412992).

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

21825286550208 is a wasteful number, since it uses less digits than its factorization.

21825286550208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94484 (or 94468 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 21825286550208 in words is "twenty-one trillion, eight hundred twenty-five billion, two hundred eighty-six million, five hundred fifty thousand, two hundred eight".