26689038720 has 256 divisors, whose sum is σ = 88700832000. Its totient is φ = 6817341440.

The previous prime is 26689038647. The next prime is 26689038737. The reversal of 26689038720 is 2783098662.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7292251 + ... + 7295909.

It is an arithmetic number, because the mean of its divisors is an integer number (346487625).

Almost surely, 2^26689038720 is an apocalyptic number.

26689038720 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 26689038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44350416000).

26689038720 is an abundant number, since it is smaller than the sum of its proper divisors (62011793280).

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

26689038720 is a wasteful number, since it uses less digits than its factorization.

26689038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 26689038720 in words is "twenty-six billion, six hundred eighty-nine million, thirty-eight thousand, seven hundred twenty".