11042530200 has 768 divisors, whose sum is σ = 45747072000. Its totient is φ = 2418647040.

The previous prime is 11042530199. The next prime is 11042530223. The reversal of 11042530200 is 203524011.

11042530200 is a `hidden beast` number, since 1 + 10 + 425 + 30 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22674357 + ... + 22674843.

It is an arithmetic number, because the mean of its divisors is an integer number (59566500).

Almost surely, 2^11042530200 is an apocalyptic number.

11042530200 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 11042530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873536000).

11042530200 is an abundant number, since it is smaller than the sum of its proper divisors (34704541800).

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

11042530200 is a wasteful number, since it uses less digits than its factorization.

11042530200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

It can be divided in two parts, 110425 and 30200, that added together give a square (140625 = 375²).

The spelling of 11042530200 in words is "eleven billion, forty-two million, five hundred thirty thousand, two hundred".