52584527807360 has 256 divisors, whose sum is σ = 140593630003200. Its totient is φ = 18712392007680.

The previous prime is 52584527807303. The next prime is 52584527807363. The reversal of 52584527807360 is 6370872548525.

It is a Cunningham number, because it is equal to 7251519²-1.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 52584527807293 and 52584527807302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52584527807363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12690161 + ... + 16315919.

It is an arithmetic number, because the mean of its divisors is an integer number (549193867200).

Almost surely, 2^{52584527807360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52584527807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70296815001600).

52584527807360 is an abundant number, since it is smaller than the sum of its proper divisors (88009102195840).

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

52584527807360 is a wasteful number, since it uses less digits than its factorization.

52584527807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625869 (or 3625857 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 62.

The spelling of 52584527807360 in words is "fifty-two trillion, five hundred eighty-four billion, five hundred twenty-seven million, eight hundred seven thousand, three hundred sixty".