11866800000 has 768 divisors, whose sum is σ = 45897062400. Its totient is φ = 2688000000.

The previous prime is 11866799993. The next prime is 11866800007. The reversal of 11866800000 is 866811.

It is an interprime number because it is at equal distance from previous prime (11866799993) and next prime (11866800007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11866800007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382799985 + ... + 382800015.

It is an arithmetic number, because the mean of its divisors is an integer number (59761800).

Almost surely, 2^11866800000 is an apocalyptic number.

11866800000 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 11866800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22948531200).

11866800000 is an abundant number, since it is smaller than the sum of its proper divisors (34030262400).

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

11866800000 is an equidigital number, since it uses as much as digits as its factorization.

11866800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 11866800000 in words is "eleven billion, eight hundred sixty-six million, eight hundred thousand".