26641300224 has 576 divisors, whose sum is σ = 94281707520. Its totient is φ = 6469632000.

The previous prime is 26641300207. The next prime is 26641300229. The reversal of 26641300224 is 42200314662.

It is a junction number, because it is equal to n+sod(n) for n = 26641300191 and 26641300200.

It is not an unprimeable number, because it can be changed into a prime (26641300229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147189414 + ... + 147189594.

It is an arithmetic number, because the mean of its divisors is an integer number (163683520).

Almost surely, 2^26641300224 is an apocalyptic number.

26641300224 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 26641300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47140853760).

26641300224 is an abundant number, since it is smaller than the sum of its proper divisors (67640407296).

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

26641300224 is a wasteful number, since it uses less digits than its factorization.

26641300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 26641300224 its reverse (42200314662), we get a palindrome (68841614886).

The spelling of 26641300224 in words is "twenty-six billion, six hundred forty-one million, three hundred thousand, two hundred twenty-four".