11071155422880 has 1536 divisors, whose sum is σ = 47952902430720. Its totient is φ = 2328032378880.

The previous prime is 11071155422801. The next prime is 11071155422893. The reversal of 11071155422880 is 8822455117011.

11071155422880 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 1 + 1 + 5 + 542 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9454444695 + ... + 9454445865.

It is an arithmetic number, because the mean of its divisors is an integer number (31219337520).

Almost surely, 2^{11071155422880} is an apocalyptic number.

11071155422880 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 11071155422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976451215360).

11071155422880 is an abundant number, since it is smaller than the sum of its proper divisors (36881747007840).

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

11071155422880 is a wasteful number, since it uses less digits than its factorization.

11071155422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 11071155422880 in words is "eleven trillion, seventy-one billion, one hundred fifty-five million, four hundred twenty-two thousand, eight hundred eighty".