11975133768705 has 64 divisors (see below), whose sum is σ = 21342348288000. Its totient is φ = 6370779340800.

The previous prime is 11975133768649. The next prime is 11975133768737. The reversal of 11975133768705 is 50786733157911.

11975133768705 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 513 + 37 + 6 + 87 + 0 + 5 = 666.

It is not a de Polignac number, because 11975133768705 - 2¹¹ = 11975133766657 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240434805 + ... + 240484605.

It is an arithmetic number, because the mean of its divisors is an integer number (333474192000).

Almost surely, 2^{11975133768705} is an apocalyptic number.

11975133768705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11975133768705 is a deficient number, since it is larger than the sum of its proper divisors (9367214519295).

11975133768705 is a wasteful number, since it uses less digits than its factorization.

11975133768705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54231 (or 54225 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 11975133768705 in words is "eleven trillion, nine hundred seventy-five billion, one hundred thirty-three million, seven hundred sixty-eight thousand, seven hundred five".