26189811648 has 1120 divisors, whose sum is σ = 107396889600. Its totient is φ = 6218311680.

The previous prime is 26189811647. The next prime is 26189811673. The reversal of 26189811648 is 84611898162.

It is a happy number.

26189811648 is a `hidden beast` number, since 2 + 618 + 9 + 8 + 1 + 16 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26189811594 and 26189811603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26189811647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 254269965 + ... + 254270067.

It is an arithmetic number, because the mean of its divisors is an integer number (95890080).

Almost surely, 2^26189811648 is an apocalyptic number.

26189811648 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 26189811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53698444800).

26189811648 is an abundant number, since it is smaller than the sum of its proper divisors (81207077952).

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

26189811648 is a wasteful number, since it uses less digits than its factorization.

26189811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 26189811648 in words is "twenty-six billion, one hundred eighty-nine million, eight hundred eleven thousand, six hundred forty-eight".