26820621168 has 320 divisors, whose sum is σ = 81457643520. Its totient is φ = 7526937600.

The previous prime is 26820621167. The next prime is 26820621169. The reversal of 26820621168 is 86112602862.

It is an interprime number because it is at equal distance from previous prime (26820621167) and next prime (26820621169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26820621167) 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 63 ways as a sum of consecutive naturals, for example, 37302313 + ... + 37303031.

It is an arithmetic number, because the mean of its divisors is an integer number (254555136).

Almost surely, 2^26820621168 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 26820621168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40728821760).

26820621168 is an abundant number, since it is smaller than the sum of its proper divisors (54637022352).

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

26820621168 is a wasteful number, since it uses less digits than its factorization.

26820621168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 26820621168 in words is "twenty-six billion, eight hundred twenty million, six hundred twenty-one thousand, one hundred sixty-eight".