11789826048 has 960 divisors, whose sum is σ = 47948060160. Its totient is φ = 2786918400.

The previous prime is 11789826031. The next prime is 11789826067. The reversal of 11789826048 is 84062898711.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11789825985 and 11789826003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 166053853 + ... + 166053923.

It is an arithmetic number, because the mean of its divisors is an integer number (49945896).

Almost surely, 2^11789826048 is an apocalyptic number.

11789826048 is a gapful number since it is divisible by the number (18) 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 11789826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974030080).

11789826048 is an abundant number, since it is smaller than the sum of its proper divisors (36158234112).

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

11789826048 is a wasteful number, since it uses less digits than its factorization.

11789826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

It can be divided in two parts, 1178982 and 6048, that added together give a triangular number (1185030 = T₁₅₃₉).

The spelling of 11789826048 in words is "eleven billion, seven hundred eighty-nine million, eight hundred twenty-six thousand, forty-eight".