26519705856 has 216 divisors, whose sum is σ = 90624124864. Its totient is φ = 7576934400.

The previous prime is 26519705851. The next prime is 26519705881. The reversal of 26519705856 is 65850791562.

26519705856 is a `hidden beast` number, since 2 + 6 + 51 + 9 + 7 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (26519705851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 405006 + ... + 465906.

Almost surely, 2^26519705856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26519705856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45312062432).

26519705856 is an abundant number, since it is smaller than the sum of its proper divisors (64104419008).

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

26519705856 is an frugal number, since it uses more digits than its factorization.

26519705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60939 (or 60913 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 26519705856 in words is "twenty-six billion, five hundred nineteen million, seven hundred five thousand, eight hundred fifty-six".