11872805975 has 48 divisors (see below), whose sum is σ = 15668640000. Its totient is φ = 8899430400.

The previous prime is 11872805969. The next prime is 11872805977. The reversal of 11872805975 is 57950827811.

11872805975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11872805975 - 2⁶ = 11872805911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872805977) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26442551 + ... + 26442999.

It is an arithmetic number, because the mean of its divisors is an integer number (326430000).

Almost surely, 2^11872805975 is an apocalyptic number.

11872805975 is a deficient number, since it is larger than the sum of its proper divisors (3795834025).

11872805975 is a wasteful number, since it uses less digits than its factorization.

11872805975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 53.

The spelling of 11872805975 in words is "eleven billion, eight hundred seventy-two million, eight hundred five thousand, nine hundred seventy-five".