26290798560 has 960 divisors, whose sum is σ = 108190494720. Its totient is φ = 5957038080.

The previous prime is 26290798553. The next prime is 26290798561. The reversal of 26290798560 is 6589709262.

26290798560 is a `hidden beast` number, since 2 + 6 + 2 + 9 + 0 + 79 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26290798497 and 26290798506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26290798561) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137648065 + ... + 137648255.

It is an arithmetic number, because the mean of its divisors is an integer number (112698432).

Almost surely, 2^26290798560 is an apocalyptic number.

26290798560 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 26290798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54095247360).

26290798560 is an abundant number, since it is smaller than the sum of its proper divisors (81899696160).

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

26290798560 is a wasteful number, since it uses less digits than its factorization.

26290798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 26290798560 in words is "twenty-six billion, two hundred ninety million, seven hundred ninety-eight thousand, five hundred sixty".