26052107894784 has 680 divisors, whose sum is σ = 80979071646000. Its totient is φ = 8336676225024.

The previous prime is 26052107894753. The next prime is 26052107894789. The reversal of 26052107894784 is 48749870125062.

It is a happy number.

26052107894784 is a `hidden beast` number, since 2 + 6 + 0 + 52 + 107 + 8 + 9 + 478 + 4 = 666.

It is a super-2 number, since 2×26052107894784² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26052107894789) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 35253190287 + ... + 35253191025.

Almost surely, 2^{26052107894784} is an apocalyptic number.

26052107894784 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 26052107894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40489535823000).

26052107894784 is an abundant number, since it is smaller than the sum of its proper divisors (54926963751216).

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

26052107894784 is an frugal number, since it uses more digits than its factorization.

26052107894784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 26052107894784 in words is "twenty-six trillion, fifty-two billion, one hundred seven million, eight hundred ninety-four thousand, seven hundred eighty-four".