11071141162128 has 240 divisors, whose sum is σ = 33828100488000. Its totient is φ = 3495570163200.

The previous prime is 11071141162057. The next prime is 11071141162139. The reversal of 11071141162128 is 82126114117011.

11071141162128 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 1 + 4 + 1 + 1 + 621 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11071141162092 and 11071141162101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760948198 + ... + 760962746.

It is an arithmetic number, because the mean of its divisors is an integer number (140950418700).

Almost surely, 2^{11071141162128} is an apocalyptic number.

11071141162128 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 11071141162128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914050244000).

11071141162128 is an abundant number, since it is smaller than the sum of its proper divisors (22756959325872).

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

11071141162128 is a wasteful number, since it uses less digits than its factorization.

11071141162128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24892 (or 24874 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 36.

Adding to 11071141162128 its reverse (82126114117011), we get a palindrome (93197255279139).

The spelling of 11071141162128 in words is "eleven trillion, seventy-one billion, one hundred forty-one million, one hundred sixty-two thousand, one hundred twenty-eight".