11600482383072 has 576 divisors, whose sum is σ = 38060796533760. Its totient is φ = 3344889461760.

The previous prime is 11600482383047. The next prime is 11600482383097. The reversal of 11600482383072 is 27038328400611.

11600482383072 is a `hidden beast` number, since 1 + 1 + 600 + 4 + 8 + 2 + 3 + 8 + 30 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11600482383047) and next prime (11600482383097).

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, 1736855829 + ... + 1736862507.

It is an arithmetic number, because the mean of its divisors is an integer number (66077771760).

Almost surely, 2^{11600482383072} is an apocalyptic number.

11600482383072 is a gapful number since it is divisible by the number (12) 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 11600482383072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030398266880).

11600482383072 is an abundant number, since it is smaller than the sum of its proper divisors (26460314150688).

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

11600482383072 is a wasteful number, since it uses less digits than its factorization.

11600482383072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11600482383072 in words is "eleven trillion, six hundred billion, four hundred eighty-two million, three hundred eighty-three thousand, seventy-two".