113520384000 has 576 divisors, whose sum is σ = 423537660000. Its totient is φ = 29211033600.

The previous prime is 113520383981. The next prime is 113520384011. The reversal of 113520384000 is 483025311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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, 66815151 + ... + 66816849.

Almost surely, 2^113520384000 is an apocalyptic number.

113520384000 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 113520384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211768830000).

113520384000 is an abundant number, since it is smaller than the sum of its proper divisors (310017276000).

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

113520384000 is a wasteful number, since it uses less digits than its factorization.

113520384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 113520384000 in words is "one hundred thirteen billion, five hundred twenty million, three hundred eighty-four thousand".