26682704268480 has 784 divisors, whose sum is σ = 104123694667104. Its totient is φ = 6469970411520.

The previous prime is 26682704268469. The next prime is 26682704268509. The reversal of 26682704268480 is 8486240728662.

26682704268480 is a `hidden beast` number, since 2 + 6 + 6 + 82 + 70 + 4 + 2 + 6 + 8 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 203121220 + ... + 203252540.

Almost surely, 2^{26682704268480} is an apocalyptic number.

26682704268480 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 26682704268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52061847333552).

26682704268480 is an abundant number, since it is smaller than the sum of its proper divisors (77440990398624).

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

26682704268480 is a wasteful number, since it uses less digits than its factorization.

26682704268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131436 (or 131411 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 26682704268480 in words is "twenty-six trillion, six hundred eighty-two billion, seven hundred four million, two hundred sixty-eight thousand, four hundred eighty".