11906150688 has 192 divisors, whose sum is σ = 35256049920. Its totient is φ = 3908653056.

The previous prime is 11906150677. The next prime is 11906150693. The reversal of 11906150688 is 88605160911.

11906150688 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 61 + 506 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29990106 + ... + 29990502.

It is an arithmetic number, because the mean of its divisors is an integer number (183625260).

Almost surely, 2^11906150688 is an apocalyptic number.

11906150688 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 11906150688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17628024960).

11906150688 is an abundant number, since it is smaller than the sum of its proper divisors (23349899232).

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

11906150688 is a wasteful number, since it uses less digits than its factorization.

11906150688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 11906150688 in words is "eleven billion, nine hundred six million, one hundred fifty thousand, six hundred eighty-eight".