26568635940 has 1152 divisors, whose sum is σ = 113218560000. Its totient is φ = 4978713600.

The previous prime is 26568635927. The next prime is 26568635987. The reversal of 26568635940 is 4953686562.

26568635940 is a `hidden beast` number, since 2 + 6 + 568 + 6 + 35 + 9 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 374206105 + ... + 374206175.

It is an arithmetic number, because the mean of its divisors is an integer number (98280000).

Almost surely, 2^26568635940 is an apocalyptic number.

26568635940 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 26568635940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280000).

26568635940 is an abundant number, since it is smaller than the sum of its proper divisors (86649924060).

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

26568635940 is a wasteful number, since it uses less digits than its factorization.

26568635940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 26568635940 in words is "twenty-six billion, five hundred sixty-eight million, six hundred thirty-five thousand, nine hundred forty".