26579782560 has 192 divisors, whose sum is σ = 87750044928. Its totient is φ = 6750019584.

The previous prime is 26579782517. The next prime is 26579782561. The reversal of 26579782560 is 6528797562.

It is a self number, because there is not a number n which added to its sum of digits gives 26579782560.

It is not an unprimeable number, because it can be changed into a prime (26579782561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2567154 + ... + 2577486.

It is an arithmetic number, because the mean of its divisors is an integer number (457031484).

Almost surely, 2^26579782560 is an apocalyptic number.

26579782560 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 26579782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43875022464).

26579782560 is an abundant number, since it is smaller than the sum of its proper divisors (61170262368).

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

26579782560 is a wasteful number, since it uses less digits than its factorization.

26579782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10607 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 26579782560 in words is "twenty-six billion, five hundred seventy-nine million, seven hundred eighty-two thousand, five hundred sixty".