26516890960 has 320 divisors, whose sum is σ = 76370112000. Its totient is φ = 8534937600.

The previous prime is 26516890951. The next prime is 26516890963. The reversal of 26516890960 is 6909861562.

It is a junction number, because it is equal to n+sod(n) for n = 26516890898 and 26516890907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26516890963) 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, 94366020 + ... + 94366300.

It is an arithmetic number, because the mean of its divisors is an integer number (238656600).

Almost surely, 2^26516890960 is an apocalyptic number.

26516890960 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 26516890960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38185056000).

26516890960 is an abundant number, since it is smaller than the sum of its proper divisors (49853221040).

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

26516890960 is a wasteful number, since it uses less digits than its factorization.

26516890960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 26516890960 in words is "twenty-six billion, five hundred sixteen million, eight hundred ninety thousand, nine hundred sixty".