5259563385000 has 640 divisors, whose sum is σ = 17460278922240. Its totient is φ = 1317888000000.

The previous prime is 5259563384963. The next prime is 5259563385017. The reversal of 5259563385000 is 5833659525.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2489143944 + ... + 2489146056.

It is an arithmetic number, because the mean of its divisors is an integer number (27281685816).

Almost surely, 2^{5259563385000} is an apocalyptic number.

5259563385000 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 5259563385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8730139461120).

5259563385000 is an abundant number, since it is smaller than the sum of its proper divisors (12200715537240).

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

5259563385000 is a wasteful number, since it uses less digits than its factorization.

5259563385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 5259563385000 in words is "five trillion, two hundred fifty-nine billion, five hundred sixty-three million, three hundred eighty-five thousand".