11230516800 has 252 divisors, whose sum is σ = 41293854420. Its totient is φ = 2891427840.

The previous prime is 11230516793. The next prime is 11230516859. The reversal of 11230516800 is 861503211.

11230516800 is a `hidden beast` number, since 112 + 30 + 516 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 260887104 + 10969629696 = 16152^2 + 104736^2 .

It is a super-2 number, since 2×11230516800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404154 + ... + 431046.

Almost surely, 2^11230516800 is an apocalyptic number.

11230516800 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 11230516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20646927210).

11230516800 is an abundant number, since it is smaller than the sum of its proper divisors (30063337620).

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

11230516800 is a wasteful number, since it uses less digits than its factorization.

11230516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26950 (or 26932 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11230516800 in words is "eleven billion, two hundred thirty million, five hundred sixteen thousand, eight hundred".