5005075928700 has 288 divisors, whose sum is σ = 16082831632896. Its totient is φ = 1195328471040.

The previous prime is 5005075928669. The next prime is 5005075928711. The reversal of 5005075928700 is 78295705005.

It is a self number, because there is not a number n which added to its sum of digits gives 5005075928700.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 22528359 + ... + 22749441.

It is an arithmetic number, because the mean of its divisors is an integer number (55843165392).

Almost surely, 2^{5005075928700} is an apocalyptic number.

5005075928700 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 5005075928700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041415816448).

5005075928700 is an abundant number, since it is smaller than the sum of its proper divisors (11077755704196).

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

5005075928700 is a wasteful number, since it uses less digits than its factorization.

5005075928700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221333 (or 221326 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 5005075928700 in words is "five trillion, five billion, seventy-five million, nine hundred twenty-eight thousand, seven hundred".