26800115680 has 384 divisors, whose sum is σ = 73453806720. Its totient is φ = 9169305600.

The previous prime is 26800115659. The next prime is 26800115701. The reversal of 26800115680 is 8651100862.

It is an interprime number because it is at equal distance from previous prime (26800115659) and next prime (26800115701).

It is a super-2 number, since 2×26800115680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265347630 + ... + 265347730.

It is an arithmetic number, because the mean of its divisors is an integer number (191285955).

Almost surely, 2^26800115680 is an apocalyptic number.

26800115680 is a gapful number since it is divisible by the number (20) 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 26800115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36726903360).

26800115680 is an abundant number, since it is smaller than the sum of its proper divisors (46653691040).

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

26800115680 is a wasteful number, since it uses less digits than its factorization.

26800115680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 26800115680 in words is "twenty-six billion, eight hundred million, one hundred fifteen thousand, six hundred eighty".