11730201600 has 528 divisors, whose sum is σ = 43211678720. Its totient is φ = 2786918400.

The previous prime is 11730201577. The next prime is 11730201689. The reversal of 11730201600 is 610203711.

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, 30950211 + ... + 30950589.

Almost surely, 2^11730201600 is an apocalyptic number.

11730201600 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 11730201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605839360).

11730201600 is an abundant number, since it is smaller than the sum of its proper divisors (31481477120).

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

11730201600 is a wasteful number, since it uses less digits than its factorization.

11730201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 11730201600 in words is "eleven billion, seven hundred thirty million, two hundred one thousand, six hundred".