26386088960 has 704 divisors, whose sum is σ = 86930620416. Its totient is φ = 7431782400.

The previous prime is 26386088947. The next prime is 26386088983. The reversal of 26386088960 is 6988068362.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 26386088896 and 26386088905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207764417 + ... + 207764543.

Almost surely, 2^26386088960 is an apocalyptic number.

26386088960 is a gapful number since it is divisible by the number (20) 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 26386088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43465310208).

26386088960 is an abundant number, since it is smaller than the sum of its proper divisors (60544531456).

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

26386088960 is a wasteful number, since it uses less digits than its factorization.

26386088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 26386088960 in words is "twenty-six billion, three hundred eighty-six million, eighty-eight thousand, nine hundred sixty".