26350313472 has 672 divisors, whose sum is σ = 94651275264. Its totient is φ = 7166361600.

The previous prime is 26350313467. The next prime is 26350313489. The reversal of 26350313472 is 27431305362.

26350313472 is a `hidden beast` number, since 2 + 635 + 0 + 3 + 13 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431972322 + ... + 431972382.

It is an arithmetic number, because the mean of its divisors is an integer number (140850112).

Almost surely, 2^26350313472 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 26350313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47325637632).

26350313472 is an abundant number, since it is smaller than the sum of its proper divisors (68300961792).

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

26350313472 is an frugal number, since it uses more digits than its factorization.

26350313472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 26350313472 in words is "twenty-six billion, three hundred fifty million, three hundred thirteen thousand, four hundred seventy-two".