26257068864 has 280 divisors, whose sum is σ = 84454573280. Its totient is φ = 8018113536.

The previous prime is 26257068821. The next prime is 26257068881. The reversal of 26257068864 is 46886075262.

26257068864 is a `hidden beast` number, since 2 + 6 + 2 + 570 + 6 + 8 + 8 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 26257068864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9366087 + ... + 9368889.

It is an arithmetic number, because the mean of its divisors is an integer number (301623476).

Almost surely, 2^26257068864 is an apocalyptic number.

26257068864 is a gapful number since it is divisible by the number (24) 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 26257068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42227286640).

26257068864 is an abundant number, since it is smaller than the sum of its proper divisors (58197504416).

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

26257068864 is a wasteful number, since it uses less digits than its factorization.

26257068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 26257068864 in words is "twenty-six billion, two hundred fifty-seven million, sixty-eight thousand, eight hundred sixty-four".