26064581760 has 960 divisors, whose sum is σ = 112108803840. Its totient is φ = 5748019200.

The previous prime is 26064581737. The next prime is 26064581773. The reversal of 26064581760 is 6718546062.

26064581760 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 4 + 581 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 119 ways as a sum of consecutive naturals, for example, 78744795 + ... + 78745125.

It is an arithmetic number, because the mean of its divisors is an integer number (116780004).

Almost surely, 2^26064581760 is an apocalyptic number.

26064581760 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 26064581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56054401920).

26064581760 is an abundant number, since it is smaller than the sum of its proper divisors (86044222080).

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

26064581760 is a wasteful number, since it uses less digits than its factorization.

26064581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26064581760 in words is "twenty-six billion, sixty-four million, five hundred eighty-one thousand, seven hundred sixty".