7111628160 has 768 divisors, whose sum is σ = 29244395520. Its totient is φ = 1437696000.

The previous prime is 7111628159. The next prime is 7111628171. The reversal of 7111628160 is 618261117.

It is a happy number.

It is a super-2 number, since 2×7111628160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70412110 + ... + 70412210.

It is an arithmetic number, because the mean of its divisors is an integer number (38078640).

Almost surely, 2^7111628160 is an apocalyptic number.

7111628160 is a gapful number since it is divisible by the number (70) 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 7111628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622197760).

7111628160 is an abundant number, since it is smaller than the sum of its proper divisors (22132767360).

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

7111628160 is a wasteful number, since it uses less digits than its factorization.

7111628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 7111628160 is about 84330.4699382139. The cubic root of 7111628160 is about 1923.0460330431.

Adding to 7111628160 its reverse (618261117), we get a palindrome (7729889277).

The spelling of 7111628160 in words is "seven billion, one hundred eleven million, six hundred twenty-eight thousand, one hundred sixty".