11997725584320 has 672 divisors, whose sum is σ = 49973738081280. Its totient is φ = 2580785971200.

The previous prime is 11997725584319. The next prime is 11997725584363. The reversal of 11997725584320 is 2348552779911.

It is a happy number.

11997725584320 is a `hidden beast` number, since 1 + 1 + 9 + 9 + 7 + 7 + 25 + 584 + 3 + 20 = 666.

11997725584320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57735324 + ... + 57942756.

Almost surely, 2^{11997725584320} is an apocalyptic number.

11997725584320 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 11997725584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24986869040640).

11997725584320 is an abundant number, since it is smaller than the sum of its proper divisors (37976012496960).

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

11997725584320 is a wasteful number, since it uses less digits than its factorization.

11997725584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207633 (or 207620 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 11997725584320 in words is "eleven trillion, nine hundred ninety-seven billion, seven hundred twenty-five million, five hundred eighty-four thousand, three hundred twenty".