11752219104 has 48 divisors (see below), whose sum is σ = 32190867072. Its totient is φ = 3747083648.

The previous prime is 11752219097. The next prime is 11752219117. The reversal of 11752219104 is 40191225711.

11752219104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11752219104² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2659074 + ... + 2663489.

It is an arithmetic number, because the mean of its divisors is an integer number (670643064).

Almost surely, 2^11752219104 is an apocalyptic number.

It is an amenable number.

11752219104 is an abundant number, since it is smaller than the sum of its proper divisors (20438647968).

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

11752219104 is a wasteful number, since it uses less digits than its factorization.

11752219104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5322599 (or 5322591 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 11752219104 in words is "eleven billion, seven hundred fifty-two million, two hundred nineteen thousand, one hundred four".