26321709960 has 768 divisors, whose sum is σ = 112576988160. Its totient is φ = 5175705600.

The previous prime is 26321709941. The next prime is 26321709971. The reversal of 26321709960 is 6990712362.

It is a happy number.

26321709960 is a `hidden beast` number, since 2 + 632 + 1 + 7 + 0 + 9 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84094764 + ... + 84095076.

It is an arithmetic number, because the mean of its divisors is an integer number (146584620).

Almost surely, 2^26321709960 is an apocalyptic number.

26321709960 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 26321709960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56288494080).

26321709960 is an abundant number, since it is smaller than the sum of its proper divisors (86255278200).

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

26321709960 is a wasteful number, since it uses less digits than its factorization.

26321709960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 26321709960 in words is "twenty-six billion, three hundred twenty-one million, seven hundred nine thousand, nine hundred sixty".