11786285504 has 224 divisors, whose sum is σ = 30442936320. Its totient is φ = 4405542912.

The previous prime is 11786285501. The next prime is 11786285527. The reversal of 11786285504 is 40558268711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11786285501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6800222 + ... + 6801954.

Almost surely, 2^11786285504 is an apocalyptic number.

11786285504 is a gapful number since it is divisible by the number (14) 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 11786285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15221468160).

11786285504 is an abundant number, since it is smaller than the sum of its proper divisors (18656650816).

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

11786285504 is a wasteful number, since it uses less digits than its factorization.

11786285504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 11786285504 in words is "eleven billion, seven hundred eighty-six million, two hundred eighty-five thousand, five hundred four".