11511869472 has 288 divisors, whose sum is σ = 35619393600. Its totient is φ = 3616386048.

The previous prime is 11511869461. The next prime is 11511869477. The reversal of 11511869472 is 27496811511.

11511869472 is a `hidden beast` number, since 1 + 1 + 5 + 118 + 69 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (11511869477) 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, 40677843 + ... + 40678125.

It is an arithmetic number, because the mean of its divisors is an integer number (123678450).

Almost surely, 2^11511869472 is an apocalyptic number.

11511869472 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 11511869472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809696800).

11511869472 is an abundant number, since it is smaller than the sum of its proper divisors (24107524128).

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

11511869472 is a wasteful number, since it uses less digits than its factorization.

11511869472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 400 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 11511869472 in words is "eleven billion, five hundred eleven million, eight hundred sixty-nine thousand, four hundred seventy-two".