5290075984200 has 768 divisors, whose sum is σ = 20313499852800. Its totient is φ = 1111706726400.

The previous prime is 5290075984177. The next prime is 5290075984213. The reversal of 5290075984200 is 24895700925.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1272568522 + ... + 1272572678.

It is an arithmetic number, because the mean of its divisors is an integer number (26449869600).

Almost surely, 2^{5290075984200} is an apocalyptic number.

5290075984200 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 5290075984200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156749926400).

5290075984200 is an abundant number, since it is smaller than the sum of its proper divisors (15023423868600).

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

5290075984200 is a wasteful number, since it uses less digits than its factorization.

5290075984200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 5290075984200 in words is "five trillion, two hundred ninety billion, seventy-five million, nine hundred eighty-four thousand, two hundred".