523140514304000 has 208 divisors, whose sum is σ = 1313609350722240. Its totient is φ = 207972392140800.

The previous prime is 523140514303997. The next prime is 523140514304029. The reversal of 523140514304000 is 403415041325.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80321771 + ... + 86590229.

It is an arithmetic number, because the mean of its divisors is an integer number (6315429570780).

Almost surely, 2^{523140514304000} is an apocalyptic number.

523140514304000 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 523140514304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656804675361120).

523140514304000 is an abundant number, since it is smaller than the sum of its proper divisors (790468836418240).

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

523140514304000 is an equidigital number, since it uses as much as digits as its factorization.

523140514304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268661 (or 6268629 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 523140514304000 its reverse (403415041325), we get a palindrome (523543929345325).

The spelling of 523140514304000 in words is "five hundred twenty-three trillion, one hundred forty billion, five hundred fourteen million, three hundred four thousand".