11859187200 has 240 divisors, whose sum is σ = 44773681920. Its totient is φ = 2710609920.

The previous prime is 11859187189. The next prime is 11859187217. The reversal of 11859187200 is 278195811.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246741 + ... + 290859.

It is an arithmetic number, because the mean of its divisors is an integer number (186557008).

Almost surely, 2^11859187200 is an apocalyptic number.

11859187200 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 11859187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386840960).

11859187200 is an abundant number, since it is smaller than the sum of its proper divisors (32914494720).

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

11859187200 is an equidigital number, since it uses as much as digits as its factorization.

11859187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44157 (or 44136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 11859187200 in words is "eleven billion, eight hundred fifty-nine million, one hundred eighty-seven thousand, two hundred".