11823590647680 has 1024 divisors, whose sum is σ = 45186750720000. Its totient is φ = 2627568599040.

The previous prime is 11823590647663. The next prime is 11823590647681. The reversal of 11823590647680 is 8674609532811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11823590647681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3575320587 + ... + 3575323893.

It is an arithmetic number, because the mean of its divisors is an integer number (44127686250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅11823590647680 = 23647181295360, but 3⋅11823590647680 = 35470771943040 is not.

Almost surely, 2^{11823590647680} is an apocalyptic number.

11823590647680 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 11823590647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593375360000).

11823590647680 is an abundant number, since it is smaller than the sum of its proper divisors (33363160072320).

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

11823590647680 is an equidigital number, since it uses as much as digits as its factorization.

11823590647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 11823590647680 in words is "eleven trillion, eight hundred twenty-three billion, five hundred ninety million, six hundred forty-seven thousand, six hundred eighty".