26389978560 has 672 divisors, whose sum is σ = 110408313600. Its totient is φ = 5702123520.

The previous prime is 26389978513. The next prime is 26389978583. The reversal of 26389978560 is 6587998362.

26389978560 is a `hidden beast` number, since 2 + 63 + 8 + 9 + 9 + 7 + 8 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10231351 + ... + 10233929.

Almost surely, 2^26389978560 is an apocalyptic number.

26389978560 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 26389978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55204156800).

26389978560 is an abundant number, since it is smaller than the sum of its proper divisors (84018335040).

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

26389978560 is a wasteful number, since it uses less digits than its factorization.

26389978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 26389978560 in words is "twenty-six billion, three hundred eighty-nine million, nine hundred seventy-eight thousand, five hundred sixty".