11783634528000 has 576 divisors, whose sum is σ = 40906567683072. Its totient is φ = 3000860262400.

The previous prime is 11783634527989. The next prime is 11783634528007. The reversal of 11783634528000 is 82543638711.

11783634528000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11783634528007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1494812059 + ... + 1494819941.

It is an arithmetic number, because the mean of its divisors is an integer number (71018346672).

Almost surely, 2^{11783634528000} is an apocalyptic number.

11783634528000 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 11783634528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20453283841536).

11783634528000 is an abundant number, since it is smaller than the sum of its proper divisors (29122933155072).

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

11783634528000 is an equidigital number, since it uses as much as digits as its factorization.

11783634528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8617 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 11783634528000 in words is "eleven trillion, seven hundred eighty-three billion, six hundred thirty-four million, five hundred twenty-eight thousand".