11688963552 has 480 divisors, whose sum is σ = 42415591680. Its totient is φ = 3083028480.

The previous prime is 11688963551. The next prime is 11688963569. The reversal of 11688963552 is 25536988611.

11688963552 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 89 + 6 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11688963551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14133763 + ... + 14134589.

It is an arithmetic number, because the mean of its divisors is an integer number (88365816).

Almost surely, 2^11688963552 is an apocalyptic number.

11688963552 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 11688963552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21207795840).

11688963552 is an abundant number, since it is smaller than the sum of its proper divisors (30726628128).

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

11688963552 is a wasteful number, since it uses less digits than its factorization.

11688963552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 11688963552 in words is "eleven billion, six hundred eighty-eight million, nine hundred sixty-three thousand, five hundred fifty-two".