11986732800 has 972 divisors, whose sum is σ = 51835807296. Its totient is φ = 2632089600.

The previous prime is 11986732789. The next prime is 11986732801. The reversal of 11986732800 is 823768911.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11986732801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 87494332 + ... + 87494468.

Almost surely, 2^11986732800 is an apocalyptic number.

11986732800 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 11986732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25917903648).

11986732800 is an abundant number, since it is smaller than the sum of its proper divisors (39849074496).

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

11986732800 is a wasteful number, since it uses less digits than its factorization.

11986732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11986732800 in words is "eleven billion, nine hundred eighty-six million, seven hundred thirty-two thousand, eight hundred".