11643071200 has 108 divisors (see below), whose sum is σ = 29215364472. Its totient is φ = 4530931200.

The previous prime is 11643071191. The next prime is 11643071213. The reversal of 11643071200 is 217034611.

It is a super-2 number, since 2×11643071200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1089885 + ... + 1100515.

It is an arithmetic number, because the mean of its divisors is an integer number (270512634).

Almost surely, 2^11643071200 is an apocalyptic number.

11643071200 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 11643071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14607682236).

11643071200 is an abundant number, since it is smaller than the sum of its proper divisors (17572293272).

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

11643071200 is a wasteful number, since it uses less digits than its factorization.

11643071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10725 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 11643071200 in words is "eleven billion, six hundred forty-three million, seventy-one thousand, two hundred".