26450964960 has 768 divisors, whose sum is σ = 103464345600. Its totient is φ = 5552676864.

The previous prime is 26450964959. The next prime is 26450965001. The reversal of 26450964960 is 6946905462.

It is a happy number.

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, 247205227 + ... + 247205333.

It is an arithmetic number, because the mean of its divisors is an integer number (134719200).

Almost surely, 2^26450964960 is an apocalyptic number.

26450964960 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 26450964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51732172800).

26450964960 is an abundant number, since it is smaller than the sum of its proper divisors (77013380640).

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

26450964960 is a wasteful number, since it uses less digits than its factorization.

26450964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 26450964960 in words is "twenty-six billion, four hundred fifty million, nine hundred sixty-four thousand, nine hundred sixty".