26936883072 has 640 divisors, whose sum is σ = 95260492800. Its totient is φ = 7464960000.

The previous prime is 26936883031. The next prime is 26936883107. The reversal of 26936883072 is 27038863962.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67174072 + ... + 67174472.

It is an arithmetic number, because the mean of its divisors is an integer number (148844520).

Almost surely, 2^26936883072 is an apocalyptic number.

26936883072 is a gapful number since it is divisible by the number (22) 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 26936883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47630246400).

26936883072 is an abundant number, since it is smaller than the sum of its proper divisors (68323609728).

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

26936883072 is a wasteful number, since it uses less digits than its factorization.

26936883072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

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

The spelling of 26936883072 in words is "twenty-six billion, nine hundred thirty-six million, eight hundred eighty-three thousand, seventy-two".