11166053200 has 90 divisors (see below), whose sum is σ = 27411531326. Its totient is φ = 4371045120.

The previous prime is 11166053189. The next prime is 11166053207. The reversal of 11166053200 is 235066111.

It can be written as a sum of positive squares in 3 ways, for example, as 2862864 + 11163190336 = 1692^2 + 105656^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166053207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 877282 + ... + 889918.

Almost surely, 2^11166053200 is an apocalyptic number.

11166053200 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 11166053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705765663).

11166053200 is an abundant number, since it is smaller than the sum of its proper divisors (16245478126).

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

11166053200 is a wasteful number, since it uses less digits than its factorization.

11166053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12749 (or 12691 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 11166053200 in words is "eleven billion, one hundred sixty-six million, fifty-three thousand, two hundred".