26130497688 has 192 divisors, whose sum is σ = 75675600000. Its totient is φ = 8122083840.

The previous prime is 26130497663. The next prime is 26130497693. The reversal of 26130497688 is 88679403162.

26130497688 is a `hidden beast` number, since 2 + 61 + 30 + 497 + 68 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24909388 + ... + 24910436.

It is an arithmetic number, because the mean of its divisors is an integer number (394143750).

Almost surely, 2^26130497688 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 26130497688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837800000).

26130497688 is an abundant number, since it is smaller than the sum of its proper divisors (49545102312).

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

26130497688 is a wasteful number, since it uses less digits than its factorization.

26130497688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 26130497688 in words is "twenty-six billion, one hundred thirty million, four hundred ninety-seven thousand, six hundred eighty-eight".