11382556032 has 192 divisors, whose sum is σ = 33637172400. Its totient is φ = 3693330432.

The previous prime is 11382556027. The next prime is 11382556039. The reversal of 11382556032 is 23065528311.

11382556032 is a `hidden beast` number, since 1 + 13 + 82 + 5 + 560 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11382556039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6868548 + ... + 6870204.

Almost surely, 2^11382556032 is an apocalyptic number.

11382556032 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 11382556032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16818586200).

11382556032 is an abundant number, since it is smaller than the sum of its proper divisors (22254616368).

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

11382556032 is a wasteful number, since it uses less digits than its factorization.

11382556032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11382556032 in words is "eleven billion, three hundred eighty-two million, five hundred fifty-six thousand, thirty-two".