26408309760 has 1056 divisors, whose sum is σ = 114448588800. Its totient is φ = 5494210560.

The previous prime is 26408309749. The next prime is 26408309783. The reversal of 26408309760 is 6790380462.

It is a super-2 number, since 2×26408309760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189987771 + ... + 189987909.

Almost surely, 2^26408309760 is an apocalyptic number.

26408309760 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 26408309760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57224294400).

26408309760 is an abundant number, since it is smaller than the sum of its proper divisors (88040279040).

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

26408309760 is a wasteful number, since it uses less digits than its factorization.

26408309760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26408309760 in words is "twenty-six billion, four hundred eight million, three hundred nine thousand, seven hundred sixty".