11689906176 has 416 divisors, whose sum is σ = 38310289920. Its totient is φ = 3500015616.

The previous prime is 11689906139. The next prime is 11689906243. The reversal of 11689906176 is 67160998611.

It is a happy number.

11689906176 is a `hidden beast` number, since 1 + 16 + 8 + 9 + 9 + 0 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-3 number, since 3×11689906176³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

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, 67571626 + ... + 67571798.

Almost surely, 2^11689906176 is an apocalyptic number.

11689906176 is a gapful number since it is divisible by the number (16) 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 11689906176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155144960).

11689906176 is an abundant number, since it is smaller than the sum of its proper divisors (26620383744).

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

11689906176 is a wasteful number, since it uses less digits than its factorization.

11689906176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11689906176 in words is "eleven billion, six hundred eighty-nine million, nine hundred six thousand, one hundred seventy-six".