26442782760 has 128 divisors (see below), whose sum is σ = 80559360000. Its totient is φ = 6942270720.

The previous prime is 26442782759. The next prime is 26442782827. The reversal of 26442782760 is 6728724462.

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 31 ways as a sum of consecutive naturals, for example, 7555491 + ... + 7558989.

It is an arithmetic number, because the mean of its divisors is an integer number (629370000).

Almost surely, 2^26442782760 is an apocalyptic number.

26442782760 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 26442782760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279680000).

26442782760 is an abundant number, since it is smaller than the sum of its proper divisors (54116577240).

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

26442782760 is a wasteful number, since it uses less digits than its factorization.

26442782760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 26442782760 in words is "twenty-six billion, four hundred forty-two million, seven hundred eighty-two thousand, seven hundred sixty".