11880506592 has 144 divisors (see below), whose sum is σ = 34780741632. Its totient is φ = 3844834560.

The previous prime is 11880506591. The next prime is 11880506633. The reversal of 11880506592 is 29560508811.

It is a happy number.

11880506592 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 0 + 50 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11880506592² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880506591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715617 + ... + 1722527.

It is an arithmetic number, because the mean of its divisors is an integer number (241532928).

Almost surely, 2^11880506592 is an apocalyptic number.

11880506592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11880506592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17390370816).

11880506592 is an abundant number, since it is smaller than the sum of its proper divisors (22900235040).

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

11880506592 is a wasteful number, since it uses less digits than its factorization.

11880506592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11880506592 in words is "eleven billion, eight hundred eighty million, five hundred six thousand, five hundred ninety-two".