26266716720 has 160 divisors (see below), whose sum is σ = 90534205440. Its totient is φ = 6999816960.

The previous prime is 26266716719. The next prime is 26266716727. The reversal of 26266716720 is 2761766262.

26266716720 is a `hidden beast` number, since 2 + 626 + 6 + 7 + 16 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26266716727) 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, 4340737 + ... + 4346783.

It is an arithmetic number, because the mean of its divisors is an integer number (565838784).

Almost surely, 2^26266716720 is an apocalyptic number.

26266716720 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 26266716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45267102720).

26266716720 is an abundant number, since it is smaller than the sum of its proper divisors (64267488720).

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

26266716720 is a wasteful number, since it uses less digits than its factorization.

26266716720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8068 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 26266716720 in words is "twenty-six billion, two hundred sixty-six million, seven hundred sixteen thousand, seven hundred twenty".