11704972800 has 480 divisors, whose sum is σ = 41526270720. Its totient is φ = 2897510400.

The previous prime is 11704972793. The next prime is 11704972801. The reversal of 11704972800 is 827940711.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11704972801) 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, 44505469 + ... + 44505731.

It is an arithmetic number, because the mean of its divisors is an integer number (86513064).

Almost surely, 2^11704972800 is an apocalyptic number.

11704972800 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 11704972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20763135360).

11704972800 is an abundant number, since it is smaller than the sum of its proper divisors (29821297920).

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

11704972800 is a wasteful number, since it uses less digits than its factorization.

11704972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The spelling of 11704972800 in words is "eleven billion, seven hundred four million, nine hundred seventy-two thousand, eight hundred".