26850797568 has 480 divisors, whose sum is σ = 96562065600. Its totient is φ = 7261913088.

The previous prime is 26850797503. The next prime is 26850797627. The reversal of 26850797568 is 86579705862.

26850797568 is a `hidden beast` number, since 2 + 68 + 5 + 0 + 7 + 9 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 22062496 + ... + 22063712.

It is an arithmetic number, because the mean of its divisors is an integer number (201170970).

Almost surely, 2^26850797568 is an apocalyptic number.

26850797568 is a gapful number since it is divisible by the number (28) 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 26850797568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48281032800).

26850797568 is an abundant number, since it is smaller than the sum of its proper divisors (69711268032).

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

26850797568 is a wasteful number, since it uses less digits than its factorization.

26850797568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 26850797568 in words is "twenty-six billion, eight hundred fifty million, seven hundred ninety-seven thousand, five hundred sixty-eight".