26986505280 has 448 divisors, whose sum is σ = 99791032320. Its totient is φ = 6052110336.

The previous prime is 26986505269. The next prime is 26986505297. The reversal of 26986505280 is 8250568962.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155991274 + ... + 155991446.

It is an arithmetic number, because the mean of its divisors is an integer number (222747840).

Almost surely, 2^26986505280 is an apocalyptic number.

26986505280 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 26986505280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49895516160).

26986505280 is an abundant number, since it is smaller than the sum of its proper divisors (72804527040).

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

26986505280 is a wasteful number, since it uses less digits than its factorization.

26986505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 26986505280 in words is "twenty-six billion, nine hundred eighty-six million, five hundred five thousand, two hundred eighty".