26205880320 has 288 divisors, whose sum is σ = 93239022240. Its totient is φ = 6983516160.

The previous prime is 26205880319. The next prime is 26205880357. The reversal of 26205880320 is 2308850262.

26205880320 is a `hidden beast` number, since 2 + 620 + 5 + 8 + 8 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17693980 + ... + 17695460.

It is an arithmetic number, because the mean of its divisors is an integer number (323746605).

Almost surely, 2^26205880320 is an apocalyptic number.

26205880320 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 26205880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46619511120).

26205880320 is an abundant number, since it is smaller than the sum of its proper divisors (67033141920).

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

26205880320 is an frugal number, since it uses more digits than its factorization.

26205880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 262058 and 80320, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 26205880320 in words is "twenty-six billion, two hundred five million, eight hundred eighty thousand, three hundred twenty".