11860812000 has 288 divisors, whose sum is σ = 42240822624. Its totient is φ = 3151872000.

The previous prime is 11860811999. The next prime is 11860812013. The reversal of 11860812000 is 21806811.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11860812000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20555712 + ... + 20556288.

It is an arithmetic number, because the mean of its divisors is an integer number (146669523).

Almost surely, 2^11860812000 is an apocalyptic number.

11860812000 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 11860812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21120411312).

11860812000 is an abundant number, since it is smaller than the sum of its proper divisors (30380010624).

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

11860812000 is a wasteful number, since it uses less digits than its factorization.

11860812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11860812000 in words is "eleven billion, eight hundred sixty million, eight hundred twelve thousand".