11890860800 has 432 divisors, whose sum is σ = 38386418112. Its totient is φ = 3538944000.

The previous prime is 11890860799. The next prime is 11890860803. The reversal of 11890860800 is 806809811.

It is not an unprimeable number, because it can be changed into a prime (11890860803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9900200 + ... + 9901400.

Almost surely, 2^11890860800 is an apocalyptic number.

11890860800 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 11890860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193209056).

11890860800 is an abundant number, since it is smaller than the sum of its proper divisors (26495557312).

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

11890860800 is a wasteful number, since it uses less digits than its factorization.

11890860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 41.

The spelling of 11890860800 in words is "eleven billion, eight hundred ninety million, eight hundred sixty thousand, eight hundred".