11721175752 has 64 divisors (see below), whose sum is σ = 34425840960. Its totient is φ = 3278649600.

The previous prime is 11721175709. The next prime is 11721175777. The reversal of 11721175752 is 25757112711.

11721175752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11721175752² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11721175752.

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 15 ways as a sum of consecutive naturals, for example, 1704199 + ... + 1711062.

It is an arithmetic number, because the mean of its divisors is an integer number (537903765).

Almost surely, 2^11721175752 is an apocalyptic number.

11721175752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11721175752 is an abundant number, since it is smaller than the sum of its proper divisors (22704665208).

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

11721175752 is a wasteful number, since it uses less digits than its factorization.

11721175752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415294 (or 3415290 counting only the distinct ones).

The product of its digits is 34300, while the sum is 39.

The spelling of 11721175752 in words is "eleven billion, seven hundred twenty-one million, one hundred seventy-five thousand, seven hundred fifty-two".