26009786880 has 1120 divisors, whose sum is σ = 117216747648. Its totient is φ = 5374771200.

The previous prime is 26009786863. The next prime is 26009786903. The reversal of 26009786880 is 8868790062.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143700390 + ... + 143700570.

Almost surely, 2^26009786880 is an apocalyptic number.

26009786880 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 26009786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58608373824).

26009786880 is an abundant number, since it is smaller than the sum of its proper divisors (91206960768).

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

26009786880 is an equidigital number, since it uses as much as digits as its factorization.

26009786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 26009786880 in words is "twenty-six billion, nine million, seven hundred eighty-six thousand, eight hundred eighty".