11166876000 has 384 divisors, whose sum is σ = 46457349120. Its totient is φ = 2552256000.

The previous prime is 11166875977. The next prime is 11166876041. The reversal of 11166876000 is 67866111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748615 + ... + 763385.

It is an arithmetic number, because the mean of its divisors is an integer number (120982680).

Almost surely, 2^11166876000 is an apocalyptic number.

11166876000 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 11166876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23228674560).

11166876000 is an abundant number, since it is smaller than the sum of its proper divisors (35290473120).

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

11166876000 is a wasteful number, since it uses less digits than its factorization.

11166876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14812 (or 14788 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11166876000 in words is "eleven billion, one hundred sixty-six million, eight hundred seventy-six thousand".