11786238720 has 504 divisors, whose sum is σ = 44878440096. Its totient is φ = 2954133504.

The previous prime is 11786238701. The next prime is 11786238727. The reversal of 11786238720 is 2783268711.

11786238720 is a `hidden beast` number, since 1 + 17 + 8 + 623 + 8 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11786238727) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15862669 + ... + 15863411.

It is an arithmetic number, because the mean of its divisors is an integer number (89044524).

Almost surely, 2^11786238720 is an apocalyptic number.

11786238720 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 11786238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439220048).

11786238720 is an abundant number, since it is smaller than the sum of its proper divisors (33092201376).

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

11786238720 is an frugal number, since it uses more digits than its factorization.

11786238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11786238720 in words is "eleven billion, seven hundred eighty-six million, two hundred thirty-eight thousand, seven hundred twenty".