11075579118000 has 320 divisors, whose sum is σ = 42009023571840. Its totient is φ = 2779752960000.

The previous prime is 11075579117963. The next prime is 11075579118001. The reversal of 11075579118000 is 81197557011.

11075579118000 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 557 + 9 + 11 + 80 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11075579118001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5114451 + ... + 6950450.

It is an arithmetic number, because the mean of its divisors is an integer number (131278198662).

Almost surely, 2^{11075579118000} is an apocalyptic number.

11075579118000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11075579118000 is an abundant number, since it is smaller than the sum of its proper divisors (30933444453840).

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

11075579118000 is a wasteful number, since it uses less digits than its factorization.

11075579118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064950 (or 12064928 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 45.

The spelling of 11075579118000 in words is "eleven trillion, seventy-five billion, five hundred seventy-nine million, one hundred eighteen thousand".