26516712240 has 120 divisors (see below), whose sum is σ = 89100301680. Its totient is φ = 7067284992.

The previous prime is 26516712197. The next prime is 26516712247. The reversal of 26516712240 is 4221761562.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 26516712195 and 26516712204.

It is not an unprimeable number, because it can be changed into a prime (26516712247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1469191 + ... + 1487129.

It is an arithmetic number, because the mean of its divisors is an integer number (742502514).

Almost surely, 2^26516712240 is an apocalyptic number.

26516712240 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 26516712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44550150840).

26516712240 is an abundant number, since it is smaller than the sum of its proper divisors (62583589440).

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

26516712240 is a wasteful number, since it uses less digits than its factorization.

26516712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 20002 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 26516712240 in words is "twenty-six billion, five hundred sixteen million, seven hundred twelve thousand, two hundred forty".