11824870800 has 120 divisors (see below), whose sum is σ = 37908605440. Its totient is φ = 3150835200.

The previous prime is 11824870793. The next prime is 11824870817. The reversal of 11824870800 is 807842811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1942161 + ... + 1948239.

Almost surely, 2^11824870800 is an apocalyptic number.

11824870800 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 11824870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954302720).

11824870800 is an abundant number, since it is smaller than the sum of its proper divisors (26083734640).

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

11824870800 is a wasteful number, since it uses less digits than its factorization.

11824870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7710 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The spelling of 11824870800 in words is "eleven billion, eight hundred twenty-four million, eight hundred seventy thousand, eight hundred".