11207116800 has 864 divisors, whose sum is σ = 45923623200. Its totient is φ = 2676326400.

The previous prime is 11207116799. The next prime is 11207116819. The reversal of 11207116800 is 861170211.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×11207116800³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167270367 + ... + 167270433.

Almost surely, 2^11207116800 is an apocalyptic number.

11207116800 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 11207116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22961811600).

11207116800 is an abundant number, since it is smaller than the sum of its proper divisors (34716506400).

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

11207116800 is a wasteful number, since it uses less digits than its factorization.

11207116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 11207116800 in words is "eleven billion, two hundred seven million, one hundred sixteen thousand, eight hundred".