11153860200 has 216 divisors, whose sum is σ = 43574379030. Its totient is φ = 2549433600.

The previous prime is 11153860199. The next prime is 11153860213. The reversal of 11153860200 is 206835111.

11153860200 is a `hidden beast` number, since 1 + 1 + 1 + 53 + 8 + 602 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8437157316 + 2716702884 = 91854^2 + 52122^2 .

It is a super-2 number, since 2×11153860200² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24970 + ... + 151430.

Almost surely, 2^11153860200 is an apocalyptic number.

11153860200 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 11153860200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21787189515).

11153860200 is an abundant number, since it is smaller than the sum of its proper divisors (32420518830).

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

11153860200 is a wasteful number, since it uses less digits than its factorization.

11153860200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126497 (or 126478 counting only the distinct ones).

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

The spelling of 11153860200 in words is "eleven billion, one hundred fifty-three million, eight hundred sixty thousand, two hundred".