11610866400 has 288 divisors, whose sum is σ = 44362160640. Its totient is φ = 2582046720.

The previous prime is 11610866353. The next prime is 11610866411. The reversal of 11610866400 is 466801611.

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, 612261 + ... + 630939.

It is an arithmetic number, because the mean of its divisors is an integer number (154035280).

Almost surely, 2^11610866400 is an apocalyptic number.

11610866400 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 11610866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22181080320).

11610866400 is an abundant number, since it is smaller than the sum of its proper divisors (32751294240).

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

11610866400 is a wasteful number, since it uses less digits than its factorization.

11610866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18746 (or 18733 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 11610866400 in words is "eleven billion, six hundred ten million, eight hundred sixty-six thousand, four hundred".