52584294389760 has 3072 divisors, whose sum is σ = 234770006016000. Its totient is φ = 10900726087680.

The previous prime is 52584294389701. The next prime is 52584294389771. The reversal of 52584294389760 is 6798349248525.

52584294389760 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 42 + 9 + 438 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73135318681 + ... + 73135319399.

It is an arithmetic number, because the mean of its divisors is an integer number (76422528000).

Almost surely, 2^{52584294389760} 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 52584294389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117385003008000).

52584294389760 is an abundant number, since it is smaller than the sum of its proper divisors (182185711626240).

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

52584294389760 is a wasteful number, since it uses less digits than its factorization.

52584294389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 52584294389760 in words is "fifty-two trillion, five hundred eighty-four billion, two hundred ninety-four million, three hundred eighty-nine thousand, seven hundred sixty".