11756873506 has 96 divisors (see below), whose sum is σ = 21676704192. Its totient is φ = 4763041920.

The previous prime is 11756873467. The next prime is 11756873519. The reversal of 11756873506 is 60537865711.

11756873506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 11756873506.

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 47 ways as a sum of consecutive naturals, for example, 25175085 + ... + 25175551.

It is an arithmetic number, because the mean of its divisors is an integer number (225799002).

Almost surely, 2^11756873506 is an apocalyptic number.

11756873506 is a deficient number, since it is larger than the sum of its proper divisors (9919830686).

11756873506 is a wasteful number, since it uses less digits than its factorization.

11756873506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

The spelling of 11756873506 in words is "eleven billion, seven hundred fifty-six million, eight hundred seventy-three thousand, five hundred six".