5205230252040 has 512 divisors, whose sum is σ = 19597552128000. Its totient is φ = 1076732891136.

The previous prime is 5205230251997. The next prime is 5205230252077. The reversal of 5205230252040 is 402520325025.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5205230251989 and 5205230252007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244171462 + ... + 244192778.

It is an arithmetic number, because the mean of its divisors is an integer number (38276469000).

Almost surely, 2^{5205230252040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205230252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798776064000).

5205230252040 is an abundant number, since it is smaller than the sum of its proper divisors (14392321875960).

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

5205230252040 is a wasteful number, since it uses less digits than its factorization.

5205230252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21789 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 5205230252040 its reverse (402520325025), we get a palindrome (5607750577065).

The spelling of 5205230252040 in words is "five trillion, two hundred five billion, two hundred thirty million, two hundred fifty-two thousand, forty".