26706382008480 has 576 divisors, whose sum is σ = 95084272483200. Its totient is φ = 6819823116288.

The previous prime is 26706382008457. The next prime is 26706382008587. The reversal of 26706382008480 is 8480028360762.

26706382008480 is a `hidden beast` number, since 26 + 7 + 0 + 63 + 82 + 0 + 0 + 8 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6888412302 + ... + 6888416178.

It is an arithmetic number, because the mean of its divisors is an integer number (165076861950).

Almost surely, 2^{26706382008480} is an apocalyptic number.

26706382008480 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 26706382008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47542136241600).

26706382008480 is an abundant number, since it is smaller than the sum of its proper divisors (68377890474720).

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

26706382008480 is a wasteful number, since it uses less digits than its factorization.

26706382008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 26706382008480 in words is "twenty-six trillion, seven hundred six billion, three hundred eighty-two million, eight thousand, four hundred eighty".