11866137700 has 108 divisors (see below), whose sum is σ = 27743349312. Its totient is φ = 4403571200.

The previous prime is 11866137677. The next prime is 11866137707. The reversal of 11866137700 is 773166811.

It is a super-4 number, since 4×11866137700⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11866137707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2049009 + ... + 2054791.

It is an arithmetic number, because the mean of its divisors is an integer number (256882864).

Almost surely, 2^11866137700 is an apocalyptic number.

11866137700 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 11866137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871674656).

11866137700 is an abundant number, since it is smaller than the sum of its proper divisors (15877211612).

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

11866137700 is a wasteful number, since it uses less digits than its factorization.

11866137700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5902 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 11866137700 in words is "eleven billion, eight hundred sixty-six million, one hundred thirty-seven thousand, seven hundred".