11042160696000 has 672 divisors, whose sum is σ = 45169215232128. Its totient is φ = 2522426572800.

The previous prime is 11042160695987. The next prime is 11042160696059. The reversal of 11042160696000 is 69606124011.

11042160696000 is a `hidden beast` number, since 1 + 1 + 0 + 42 + 1 + 6 + 0 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1004466504 + ... + 1004477496.

Almost surely, 2^{11042160696000} is an apocalyptic number.

11042160696000 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 11042160696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22584607616064).

11042160696000 is an abundant number, since it is smaller than the sum of its proper divisors (34127054536128).

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

11042160696000 is a wasteful number, since it uses less digits than its factorization.

11042160696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13026 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11042160696000 in words is "eleven trillion, forty-two billion, one hundred sixty million, six hundred ninety-six thousand".