11152235200 has 84 divisors (see below), whose sum is σ = 28025518752. Its totient is φ = 4365952000.

The previous prime is 11152235197. The next prime is 11152235203. The reversal of 11152235200 is 253225111.

It is an interprime number because it is at equal distance from previous prime (11152235197) and next prime (11152235203).

It is a super-2 number, since 2×11152235200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11152235203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 149350.

It is an arithmetic number, because the mean of its divisors is an integer number (333637128).

Almost surely, 2^11152235200 is an apocalyptic number.

11152235200 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 11152235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012759376).

11152235200 is an abundant number, since it is smaller than the sum of its proper divisors (16873283552).

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

11152235200 is a wasteful number, since it uses less digits than its factorization.

11152235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148370 (or 148355 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 11152235200 in words is "eleven billion, one hundred fifty-two million, two hundred thirty-five thousand, two hundred".