11789813034720 has 864 divisors, whose sum is σ = 48172105537920. Its totient is φ = 2617009274880.

The previous prime is 11789813034707. The next prime is 11789813034737. The reversal of 11789813034720 is 2743031898711.

11789813034720 is a `hidden beast` number, since 1 + 1 + 78 + 98 + 13 + 0 + 3 + 472 + 0 = 666.

11789813034720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 340011304 + ... + 340045976.

It is an arithmetic number, because the mean of its divisors is an integer number (55754751780).

Almost surely, 2^{11789813034720} is an apocalyptic number.

11789813034720 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 11789813034720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24086052768960).

11789813034720 is an abundant number, since it is smaller than the sum of its proper divisors (36382292503200).

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

11789813034720 is a wasteful number, since it uses less digits than its factorization.

11789813034720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34848 (or 34830 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 11789813034720 in words is "eleven trillion, seven hundred eighty-nine billion, eight hundred thirteen million, thirty-four thousand, seven hundred twenty".