11830578048 has 96 divisors (see below), whose sum is σ = 34620931800. Its totient is φ = 3876664320.

The previous prime is 11830578037. The next prime is 11830578073. The reversal of 11830578048 is 84087503811.

It is a happy number.

11830578048 is a `hidden beast` number, since 1 + 1 + 8 + 30 + 578 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11830577994 and 11830578012.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19063 + ... + 154998.

Almost surely, 2^11830578048 is an apocalyptic number.

11830578048 is a gapful number since it is divisible by the number (18) 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 11830578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310465900).

11830578048 is an abundant number, since it is smaller than the sum of its proper divisors (22790353752).

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

11830578048 is a wasteful number, since it uses less digits than its factorization.

11830578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174140 (or 174125 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11830578048 in words is "eleven billion, eight hundred thirty million, five hundred seventy-eight thousand, forty-eight".