52584330954240 has 480 divisors, whose sum is σ = 197070630172416. Its totient is φ = 13412811202560.

The previous prime is 52584330954187. The next prime is 52584330954257. The reversal of 52584330954240 is 4245903348525.

52584330954240 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 43 + 309 + 54 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×52584330954240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12470235 + ... + 16145445.

Almost surely, 2^{52584330954240} 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 52584330954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98535315086208).

52584330954240 is an abundant number, since it is smaller than the sum of its proper divisors (144486299218176).

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

52584330954240 is an equidigital number, since it uses as much as digits as its factorization.

52584330954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675272 (or 3675244 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 52584330954240 in words is "fifty-two trillion, five hundred eighty-four billion, three hundred thirty million, nine hundred fifty-four thousand, two hundred forty".