26529381648 has 720 divisors, whose sum is σ = 99822777600. Its totient is φ = 6556999680.

The previous prime is 26529381647. The next prime is 26529381653. The reversal of 26529381648 is 84618392562.

26529381648 is a `hidden beast` number, since 26 + 529 + 38 + 1 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26529381594 and 26529381603.

It is not an unprimeable number, because it can be changed into a prime (26529381647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 137457840 + ... + 137458032.

Almost surely, 2^26529381648 is an apocalyptic number.

26529381648 is a gapful number since it is divisible by the number (28) 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 26529381648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49911388800).

26529381648 is an abundant number, since it is smaller than the sum of its proper divisors (73293395952).

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

26529381648 is a wasteful number, since it uses less digits than its factorization.

26529381648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 26529381648 in words is "twenty-six billion, five hundred twenty-nine million, three hundred eighty-one thousand, six hundred forty-eight".