26812097280 has 576 divisors, whose sum is σ = 100662912000. Its totient is φ = 6744342528.

The previous prime is 26812097269. The next prime is 26812097297. The reversal of 26812097280 is 8279021862.

26812097280 is a `hidden beast` number, since 268 + 1 + 20 + 97 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 70744131 + ... + 70744509.

It is an arithmetic number, because the mean of its divisors is an integer number (174762000).

Almost surely, 2^26812097280 is an apocalyptic number.

26812097280 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 26812097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331456000).

26812097280 is an abundant number, since it is smaller than the sum of its proper divisors (73850814720).

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

26812097280 is a wasteful number, since it uses less digits than its factorization.

26812097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 26812097280 in words is "twenty-six billion, eight hundred twelve million, ninety-seven thousand, two hundred eighty".