26085797321472 has 720 divisors, whose sum is σ = 89733737533440. Its totient is φ = 7383066402816.

The previous prime is 26085797321383. The next prime is 26085797321537. The reversal of 26085797321472 is 27412379758062.

It is a happy number.

26085797321472 is a `hidden beast` number, since 2 + 6 + 0 + 8 + 5 + 79 + 73 + 21 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8363511529 + ... + 8363514647.

It is a 1-persistent number, because it is pandigital, but 2⋅26085797321472 = 52171594642944 is not.

Almost surely, 2^{26085797321472} 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 26085797321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44866868766720).

26085797321472 is an abundant number, since it is smaller than the sum of its proper divisors (63647940211968).

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

26085797321472 is a wasteful number, since it uses less digits than its factorization.

26085797321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 26085797321472 in words is "twenty-six trillion, eighty-five billion, seven hundred ninety-seven million, three hundred twenty-one thousand, four hundred seventy-two".