26720868290688 has 640 divisors, whose sum is σ = 96436936189440. Its totient is φ = 7233247641600.

The previous prime is 26720868290663. The next prime is 26720868290689. The reversal of 26720868290688 is 88609286802762.

26720868290688 is a `hidden beast` number, since 267 + 208 + 6 + 82 + 9 + 0 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (26720868290689) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45670656 + ... + 46252032.

It is an arithmetic number, because the mean of its divisors is an integer number (150682712796).

Almost surely, 2^{26720868290688} 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 26720868290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48218468094720).

26720868290688 is an abundant number, since it is smaller than the sum of its proper divisors (69716067898752).

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

26720868290688 is a wasteful number, since it uses less digits than its factorization.

26720868290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581458 (or 581437 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 26720868290688 in words is "twenty-six trillion, seven hundred twenty billion, eight hundred sixty-eight million, two hundred ninety thousand, six hundred eighty-eight".