75605736400011 has 12 divisors (see below), whose sum is σ = 112731133844160. Its totient is φ = 48777894451440.

The previous prime is 75605736399961. The next prime is 75605736400079. The reversal of 75605736400011 is 11000463750657.

75605736400011 is a `hidden beast` number, since 7 + 5 + 6 + 0 + 573 + 64 + 0 + 0 + 0 + 11 = 666.

It is not a de Polignac number, because 75605736400011 - 2¹¹ = 75605736397963 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75605736400011.

It is not an unprimeable number, because it can be changed into a prime (75605736400081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135494150976 + ... + 135494151533.

It is an arithmetic number, because the mean of its divisors is an integer number (9394261153680).

Almost surely, 2^{75605736400011} is an apocalyptic number.

75605736400011 is a deficient number, since it is larger than the sum of its proper divisors (37125397444149).

75605736400011 is a wasteful number, since it uses less digits than its factorization.

75605736400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270988302546 (or 270988302543 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 75605736400011 in words is "seventy-five trillion, six hundred five billion, seven hundred thirty-six million, four hundred thousand, eleven".