11599890790400 has 432 divisors, whose sum is σ = 31675055401080. Its totient is φ = 4178221465600.

The previous prime is 11599890790381. The next prime is 11599890790403. The reversal of 11599890790400 is 409709899511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11599890790403) 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, 7191499994 + ... + 7191501606.

Almost surely, 2^{11599890790400} is an apocalyptic number.

11599890790400 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 11599890790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837527700540).

11599890790400 is an abundant number, since it is smaller than the sum of its proper divisors (20075164610680).

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

11599890790400 is a wasteful number, since it uses less digits than its factorization.

11599890790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 62.

The spelling of 11599890790400 in words is "eleven trillion, five hundred ninety-nine billion, eight hundred ninety million, seven hundred ninety thousand, four hundred".