52584862500 has 288 divisors, whose sum is σ = 175050046080. Its totient is φ = 13640400000.

The previous prime is 52584862483. The next prime is 52584862507. The reversal of 52584862500 is 526848525.

It is a happy number.

52584862500 is a `hidden beast` number, since 5 + 2 + 5 + 84 + 8 + 62 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52584862507) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12485395 + ... + 12489605.

It is an arithmetic number, because the mean of its divisors is an integer number (607812660).

Almost surely, 2^52584862500 is an apocalyptic number.

52584862500 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 52584862500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87525023040).

52584862500 is an abundant number, since it is smaller than the sum of its proper divisors (122465183580).

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

52584862500 is a wasteful number, since it uses less digits than its factorization.

52584862500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 52584862500 in words is "fifty-two billion, five hundred eighty-four million, eight hundred sixty-two thousand, five hundred".