5102205424000 has 128 divisors (see below), whose sum is σ = 12705486955200. Its totient is φ = 2037643776000.

The previous prime is 5102205423989. The next prime is 5102205424049. The reversal of 5102205424000 is 4245022015.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9843316 + ... + 10348684.

Almost surely, 2^{5102205424000} is an apocalyptic number.

5102205424000 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 5102205424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352743477600).

5102205424000 is an abundant number, since it is smaller than the sum of its proper divisors (7603281531200).

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

5102205424000 is an equidigital number, since it uses as much as digits as its factorization.

5102205424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506029 (or 506007 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 5102205424000 in words is "five trillion, one hundred two billion, two hundred five million, four hundred twenty-four thousand".