26340786538560 has 2016 divisors, whose sum is σ = 110233200879360. Its totient is φ = 5734405767168.

The previous prime is 26340786538553. The next prime is 26340786538621. The reversal of 26340786538560 is 6583568704362.

26340786538560 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 0 + 7 + 8 + 65 + 3 + 8 + 560 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21537846109 + ... + 21537847331.

Almost surely, 2^{26340786538560} is an apocalyptic number.

26340786538560 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 26340786538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55116600439680).

26340786538560 is an abundant number, since it is smaller than the sum of its proper divisors (83892414340800).

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

26340786538560 is a wasteful number, since it uses less digits than its factorization.

26340786538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 26340786538560 in words is "twenty-six trillion, three hundred forty billion, seven hundred eighty-six million, five hundred thirty-eight thousand, five hundred sixty".