11900845440 has 768 divisors, whose sum is σ = 47476316160. Its totient is φ = 2720563200.

The previous prime is 11900845417. The next prime is 11900845441. The reversal of 11900845440 is 4454800911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11900845395 and 11900845404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11900845441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143383639 + ... + 143383721.

It is an arithmetic number, because the mean of its divisors is an integer number (61818120).

Almost surely, 2^11900845440 is an apocalyptic number.

11900845440 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 11900845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23738158080).

11900845440 is an abundant number, since it is smaller than the sum of its proper divisors (35575470720).

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

11900845440 is a wasteful number, since it uses less digits than its factorization.

11900845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11900845440 in words is "eleven billion, nine hundred million, eight hundred forty-five thousand, four hundred forty".