11576243952 has 240 divisors, whose sum is σ = 41351797760. Its totient is φ = 3052982016.

The previous prime is 11576243911. The next prime is 11576243953. The reversal of 11576243952 is 25934267511.

11576243952 is a `hidden beast` number, since 1 + 1 + 576 + 24 + 3 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11576243898 and 11576243907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11576243953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337449 + ... + 370167.

Almost surely, 2^11576243952 is an apocalyptic number.

11576243952 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 11576243952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20675898880).

11576243952 is an abundant number, since it is smaller than the sum of its proper divisors (29775553808).

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

11576243952 is a wasteful number, since it uses less digits than its factorization.

11576243952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32762 (or 32744 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 11576243952 in words is "eleven billion, five hundred seventy-six million, two hundred forty-three thousand, nine hundred fifty-two".