26749600947540 has 48 divisors (see below), whose sum is σ = 83220980727360. Its totient is φ = 7133226919200.

The previous prime is 26749600947521. The next prime is 26749600947569. The reversal of 26749600947540 is 4574900694762.

It is a happy number.

26749600947540 is a `hidden beast` number, since 2 + 6 + 7 + 49 + 6 + 0 + 0 + 9 + 47 + 540 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24768148486 + ... + 24768149565.

It is an arithmetic number, because the mean of its divisors is an integer number (1733770431820).

Almost surely, 2^{26749600947540} is an apocalyptic number.

26749600947540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26749600947540 is an abundant number, since it is smaller than the sum of its proper divisors (56471379779820).

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

26749600947540 is a wasteful number, since it uses less digits than its factorization.

26749600947540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49536298069 (or 49536298061 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 26749600947540 in words is "twenty-six trillion, seven hundred forty-nine billion, six hundred million, nine hundred forty-seven thousand, five hundred forty".