26668390752 has 144 divisors (see below), whose sum is σ = 80132204880. Its totient is φ = 8721603072.

The previous prime is 26668390741. The next prime is 26668390759. The reversal of 26668390752 is 25709386662.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×26668390752² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26668390759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379774 + ... + 444482.

It is an arithmetic number, because the mean of its divisors is an integer number (556473645).

Almost surely, 2^26668390752 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 26668390752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40066102440).

26668390752 is an abundant number, since it is smaller than the sum of its proper divisors (53463814128).

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

26668390752 is an equidigital number, since it uses as much as digits as its factorization.

26668390752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64787 (or 64767 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

It can be divided in two parts, 266683 and 90752, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 26668390752 in words is "twenty-six billion, six hundred sixty-eight million, three hundred ninety thousand, seven hundred fifty-two".