5285287563500 has 288 divisors, whose sum is σ = 13627440433152. Its totient is φ = 1785195417600.

The previous prime is 5285287563473. The next prime is 5285287563553. The reversal of 5285287563500 is 53657825825.

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 95 ways as a sum of consecutive naturals, for example, 2974274612 + ... + 2974276388.

It is an arithmetic number, because the mean of its divisors is an integer number (47317501504).

Almost surely, 2^{5285287563500} is an apocalyptic number.

5285287563500 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 5285287563500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813720216576).

5285287563500 is an abundant number, since it is smaller than the sum of its proper divisors (8342152869652).

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

5285287563500 is a wasteful number, since it uses less digits than its factorization.

5285287563500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 56.

The spelling of 5285287563500 in words is "five trillion, two hundred eighty-five billion, two hundred eighty-seven million, five hundred sixty-three thousand, five hundred".