26500248720 has 720 divisors, whose sum is σ = 107322349680. Its totient is φ = 5828444160.

The previous prime is 26500248653. The next prime is 26500248751. The reversal of 26500248720 is 2784200562.

It can be written as a sum of positive squares in 8 ways, for example, as 1242139536 + 25258109184 = 35244^2 + 158928^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42949852 + ... + 42950468.

It is an arithmetic number, because the mean of its divisors is an integer number (149058819).

Almost surely, 2^26500248720 is an apocalyptic number.

26500248720 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 26500248720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53661174840).

26500248720 is an abundant number, since it is smaller than the sum of its proper divisors (80822100960).

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

26500248720 is a wasteful number, since it uses less digits than its factorization.

26500248720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 26500248720 in words is "twenty-six billion, five hundred million, two hundred forty-eight thousand, seven hundred twenty".