11782523264640 has 256 divisors, whose sum is σ = 38581106785920. Its totient is φ = 3056352804864.

The previous prime is 11782523264609. The next prime is 11782523264641. The reversal of 11782523264640 is 4646232528711.

It is not an unprimeable number, because it can be changed into a prime (11782523264641) 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, 335504362 + ... + 335539478.

Almost surely, 2^{11782523264640} is an apocalyptic number.

11782523264640 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 11782523264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290553392960).

11782523264640 is an abundant number, since it is smaller than the sum of its proper divisors (26798583521280).

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

11782523264640 is a wasteful number, since it uses less digits than its factorization.

11782523264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39899 (or 39887 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 11782523264640 in words is "eleven trillion, seven hundred eighty-two billion, five hundred twenty-three million, two hundred sixty-four thousand, six hundred forty".