11811303504 has 480 divisors, whose sum is σ = 45081114624. Its totient is φ = 2787333120.

The previous prime is 11811303479. The next prime is 11811303523. The reversal of 11811303504 is 40530311811.

11811303504 is a `hidden beast` number, since 1 + 181 + 130 + 350 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9657037 + ... + 9658259.

Almost surely, 2^11811303504 is an apocalyptic number.

11811303504 is a gapful number since it is divisible by the number (14) 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 11811303504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22540557312).

11811303504 is an abundant number, since it is smaller than the sum of its proper divisors (33269811120).

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

11811303504 is a wasteful number, since it uses less digits than its factorization.

11811303504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11811303504 in words is "eleven billion, eight hundred eleven million, three hundred three thousand, five hundred four".