26351506720 has 192 divisors, whose sum is σ = 79083599616. Its totient is φ = 8058286080.

The previous prime is 26351506717. The next prime is 26351506723. The reversal of 26351506720 is 2760515362.

It is an interprime number because it is at equal distance from previous prime (26351506717) and next prime (26351506723).

It is a self number, because there is not a number n which added to its sum of digits gives 26351506720.

It is not an unprimeable number, because it can be changed into a prime (26351506723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632782 + ... + 673138.

It is an arithmetic number, because the mean of its divisors is an integer number (411893748).

Almost surely, 2^26351506720 is an apocalyptic number.

26351506720 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 26351506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39541799808).

26351506720 is an abundant number, since it is smaller than the sum of its proper divisors (52732092896).

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

26351506720 is a wasteful number, since it uses less digits than its factorization.

26351506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40443 (or 40435 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 26351506720 in words is "twenty-six billion, three hundred fifty-one million, five hundred six thousand, seven hundred twenty".