26406806506128 has 120 divisors (see below), whose sum is σ = 78253738681248. Its totient is φ = 8284048137216.

The previous prime is 26406806506021. The next prime is 26406806506153. The reversal of 26406806506128 is 82160560860462.

26406806506128 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 6 + 8 + 0 + 6 + 506 + 128 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47417551 + ... + 47971217.

Almost surely, 2^{26406806506128} is an apocalyptic number.

It is an amenable number.

26406806506128 is an abundant number, since it is smaller than the sum of its proper divisors (51846932175120).

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

26406806506128 is a wasteful number, since it uses less digits than its factorization.

26406806506128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573181 (or 573172 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 26406806506128 in words is "twenty-six trillion, four hundred six billion, eight hundred six million, five hundred six thousand, one hundred twenty-eight".