26106108560 has 80 divisors (see below), whose sum is σ = 71759692800. Its totient is φ = 8642016768.

The previous prime is 26106108559. The next prime is 26106108571. The reversal of 26106108560 is 6580160162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 26106108560.

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 15 ways as a sum of consecutive naturals, for example, 787520 + ... + 819999.

It is an arithmetic number, because the mean of its divisors is an integer number (896996160).

Almost surely, 2^26106108560 is an apocalyptic number.

26106108560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26106108560 is an abundant number, since it is smaller than the sum of its proper divisors (45653584240).

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

26106108560 is a wasteful number, since it uses less digits than its factorization.

26106108560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607568 (or 1607562 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 26106108560 in words is "twenty-six billion, one hundred six million, one hundred eight thousand, five hundred sixty".