11152051200 has 396 divisors, whose sum is σ = 40422109000. Its totient is φ = 2937323520.

The previous prime is 11152051177. The next prime is 11152051213. The reversal of 11152051200 is 215025111.

11152051200 is a `hidden beast` number, since 1 + 1 + 152 + 0 + 512 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22348551 + ... + 22349049.

Almost surely, 2^11152051200 is an apocalyptic number.

11152051200 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 11152051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20211054500).

11152051200 is an abundant number, since it is smaller than the sum of its proper divisors (29270057800).

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

11152051200 is a wasteful number, since it uses less digits than its factorization.

11152051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 11152051200 its reverse (215025111), we get a palindrome (11367076311).

The spelling of 11152051200 in words is "eleven billion, one hundred fifty-two million, fifty-one thousand, two hundred".