26786096064 has 504 divisors, whose sum is σ = 98264825568. Its totient is φ = 7054387200.

The previous prime is 26786096047. The next prime is 26786096101. The reversal of 26786096064 is 46069068762.

26786096064 is a `hidden beast` number, since 26 + 7 + 8 + 6 + 0 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 26786096064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38210914 + ... + 38211614.

It is an arithmetic number, because the mean of its divisors is an integer number (194969892).

Almost surely, 2^26786096064 is an apocalyptic number.

26786096064 is a gapful number since it is divisible by the number (24) 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 26786096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49132412784).

26786096064 is an abundant number, since it is smaller than the sum of its proper divisors (71478729504).

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

26786096064 is an frugal number, since it uses more digits than its factorization.

26786096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26786096064 in words is "twenty-six billion, seven hundred eighty-six million, ninety-six thousand, sixty-four".