26331264449280 has 1296 divisors, whose sum is σ = 108543779984640. Its totient is φ = 5994858553344.

The previous prime is 26331264449261. The next prime is 26331264449333. The reversal of 26331264449280 is 8294446213362.

26331264449280 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 12 + 64 + 4 + 492 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18047473191 + ... + 18047474649.

Almost surely, 2^{26331264449280} is an apocalyptic number.

26331264449280 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 26331264449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54271889992320).

26331264449280 is an abundant number, since it is smaller than the sum of its proper divisors (82212515535360).

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

26331264449280 is an frugal number, since it uses more digits than its factorization.

26331264449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 26331264449280 in words is "twenty-six trillion, three hundred thirty-one billion, two hundred sixty-four million, four hundred forty-nine thousand, two hundred eighty".