26204808960 has 1152 divisors, whose sum is σ = 110058117120. Its totient is φ = 5912248320.

The previous prime is 26204808907. The next prime is 26204808961. The reversal of 26204808960 is 6980840262.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26204808961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 708238062 + ... + 708238098.

It is an arithmetic number, because the mean of its divisors is an integer number (95536560).

Almost surely, 2^26204808960 is an apocalyptic number.

26204808960 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 26204808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55029058560).

26204808960 is an abundant number, since it is smaller than the sum of its proper divisors (83853308160).

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

26204808960 is an equidigital number, since it uses as much as digits as its factorization.

26204808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26204808960 in words is "twenty-six billion, two hundred four million, eight hundred eight thousand, nine hundred sixty".