11079161158800 has 240 divisors, whose sum is σ = 42695033692160. Its totient is φ = 2399096517120.

The previous prime is 11079161158757. The next prime is 11079161158823. The reversal of 11079161158800 is 885116197011.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11079161158800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34549552 + ... + 34868751.

Almost surely, 2^{11079161158800} is an apocalyptic number.

11079161158800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11079161158800 is an abundant number, since it is smaller than the sum of its proper divisors (31615872533360).

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

11079161158800 is a wasteful number, since it uses less digits than its factorization.

11079161158800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69418350 (or 69418339 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 48.

The spelling of 11079161158800 in words is "eleven trillion, seventy-nine billion, one hundred sixty-one million, one hundred fifty-eight thousand, eight hundred".