11167580160 has 840 divisors, whose sum is σ = 46415372976. Its totient is φ = 2548039680.

The previous prime is 11167580147. The next prime is 11167580161. The reversal of 11167580160 is 6108576111.

11167580160 is a `hidden beast` number, since 1 + 1 + 1 + 67 + 580 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11167580161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 656916472 + ... + 656916488.

Almost surely, 2^11167580160 is an apocalyptic number.

11167580160 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 11167580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207686488).

11167580160 is an abundant number, since it is smaller than the sum of its proper divisors (35247792816).

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

11167580160 is an frugal number, since it uses more digits than its factorization.

11167580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11167580160 in words is "eleven billion, one hundred sixty-seven million, five hundred eighty thousand, one hundred sixty".