11825895600 has 360 divisors, whose sum is σ = 43067868480. Its totient is φ = 3001466880.

The previous prime is 11825895577. The next prime is 11825895607. The reversal of 11825895600 is 659852811.

It is a happy number.

11825895600 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 5 + 89 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11825895607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6259456 + ... + 6261344.

It is an arithmetic number, because the mean of its divisors is an integer number (119632968).

Almost surely, 2^11825895600 is an apocalyptic number.

11825895600 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 11825895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533934240).

11825895600 is an abundant number, since it is smaller than the sum of its proper divisors (31241972880).

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

11825895600 is a wasteful number, since it uses less digits than its factorization.

11825895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11825895600 in words is "eleven billion, eight hundred twenty-five million, eight hundred ninety-five thousand, six hundred".