26409672960 has 432 divisors, whose sum is σ = 93717171072. Its totient is φ = 6333071360.

The previous prime is 26409672959. The next prime is 26409673033. The reversal of 26409672960 is 6927690462.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52504069 + ... + 52504571.

It is an arithmetic number, because the mean of its divisors is an integer number (216937896).

Almost surely, 2^26409672960 is an apocalyptic number.

26409672960 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 26409672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46858585536).

26409672960 is an abundant number, since it is smaller than the sum of its proper divisors (67307498112).

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

26409672960 is a wasteful number, since it uses less digits than its factorization.

26409672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 26409672960 in words is "twenty-six billion, four hundred nine million, six hundred seventy-two thousand, nine hundred sixty".