26205458160 has 640 divisors, whose sum is σ = 102576291840. Its totient is φ = 5399654400.

The previous prime is 26205458159. The next prime is 26205458173. The reversal of 26205458160 is 6185450262.

It is a Cunningham number, because it is equal to 161881²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70255734 + ... + 70256106.

It is an arithmetic number, because the mean of its divisors is an integer number (160275456).

Almost surely, 2^26205458160 is an apocalyptic number.

26205458160 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 26205458160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51288145920).

26205458160 is an abundant number, since it is smaller than the sum of its proper divisors (76370833680).

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

26205458160 is a wasteful number, since it uses less digits than its factorization.

26205458160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 26205458160 in words is "twenty-six billion, two hundred five million, four hundred fifty-eight thousand, one hundred sixty".