11161986632160 has 1152 divisors, whose sum is σ = 46646457790464. Its totient is φ = 2183490846720.

The previous prime is 11161986632131. The next prime is 11161986632161. The reversal of 11161986632160 is 6123668916111.

11161986632160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11161986632161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 741111030 + ... + 741126090.

It is an arithmetic number, because the mean of its divisors is an integer number (40491716832).

Almost surely, 2^{11161986632160} is an apocalyptic number.

11161986632160 is a gapful number since it is divisible by the number (10) 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 11161986632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323228895232).

11161986632160 is an abundant number, since it is smaller than the sum of its proper divisors (35484471158304).

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

11161986632160 is a wasteful number, since it uses less digits than its factorization.

11161986632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15184 (or 15157 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 11161986632160 in words is "eleven trillion, one hundred sixty-one billion, nine hundred eighty-six million, six hundred thirty-two thousand, one hundred sixty".