11889950688 has 384 divisors, whose sum is σ = 45783843840. Its totient is φ = 2906357760.

The previous prime is 11889950669. The next prime is 11889950711. The reversal of 11889950688 is 88605998811.

11889950688 is a `hidden beast` number, since 118 + 8 + 9 + 9 + 506 + 8 + 8 = 666.

11889950688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1125720 + ... + 1136232.

It is an arithmetic number, because the mean of its divisors is an integer number (119228760).

Almost surely, 2^11889950688 is an apocalyptic number.

11889950688 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 11889950688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891921920).

11889950688 is an abundant number, since it is smaller than the sum of its proper divisors (33893893152).

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

11889950688 is a wasteful number, since it uses less digits than its factorization.

11889950688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10567 (or 10553 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 63.

The spelling of 11889950688 in words is "eleven billion, eight hundred eighty-nine million, nine hundred fifty thousand, six hundred eighty-eight".