5005205325120 has 1792 divisors, whose sum is σ = 22094619402240. Its totient is φ = 926495539200.

The previous prime is 5005205325103. The next prime is 5005205325121. The reversal of 5005205325120 is 215235025005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005205325121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3677593240 + ... + 3677594600.

It is an arithmetic number, because the mean of its divisors is an integer number (12329586720).

Almost surely, 2^{5005205325120} 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 5005205325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047309701120).

5005205325120 is an abundant number, since it is smaller than the sum of its proper divisors (17089414077120).

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

5005205325120 is a wasteful number, since it uses less digits than its factorization.

5005205325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 5005205325120 in words is "five trillion, five billion, two hundred five million, three hundred twenty-five thousand, one hundred twenty".