11802375200 has 432 divisors, whose sum is σ = 37061877888. Its totient is φ = 3628800000.

The previous prime is 11802375121. The next prime is 11802375317. The reversal of 11802375200 is 257320811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43551065 + ... + 43551335.

It is an arithmetic number, because the mean of its divisors is an integer number (85791384).

Almost surely, 2^11802375200 is an apocalyptic number.

11802375200 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 11802375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18530938944).

11802375200 is an abundant number, since it is smaller than the sum of its proper divisors (25259502688).

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

11802375200 is a wasteful number, since it uses less digits than its factorization.

11802375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 11802375200 in words is "eleven billion, eight hundred two million, three hundred seventy-five thousand, two hundred".