523328581344000 has 576 divisors, whose sum is σ = 1786405867384320. Its totient is φ = 135691993497600.

The previous prime is 523328581343989. The next prime is 523328581344001. The reversal of 523328581344000 is 443185823325.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (523328581344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5409647631 + ... + 5409744369.

It is an arithmetic number, because the mean of its divisors is an integer number (3101399075320).

Almost surely, 2^{523328581344000} is an apocalyptic number.

523328581344000 is a gapful number since it is divisible by the number (50) 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 523328581344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893202933692160).

523328581344000 is an abundant number, since it is smaller than the sum of its proper divisors (1263077286040320).

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

523328581344000 is a wasteful number, since it uses less digits than its factorization.

523328581344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98333 (or 98309 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 523328581344000 in words is "five hundred twenty-three trillion, three hundred twenty-eight billion, five hundred eighty-one million, three hundred forty-four thousand".