52458756489216 has 2160 divisors, whose sum is σ = 208709034266880. Its totient is φ = 12648468971520.

The previous prime is 52458756489173. The next prime is 52458756489239. The reversal of 52458756489216 is 61298465785425.

It is a happy number.

52458756489216 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 87 + 56 + 489 + 2 + 16 = 666.

It is a super-2 number, since 2×52458756489216² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 718613102556 + ... + 718613102628.

Almost surely, 2^{52458756489216} is an apocalyptic number.

52458756489216 is a gapful number since it is divisible by the number (56) 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 52458756489216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104354517133440).

52458756489216 is an abundant number, since it is smaller than the sum of its proper divisors (156250277777664).

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

52458756489216 is an equidigital number, since it uses as much as digits as its factorization.

52458756489216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 113 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 72.

The spelling of 52458756489216 in words is "fifty-two trillion, four hundred fifty-eight billion, seven hundred fifty-six million, four hundred eighty-nine thousand, two hundred sixteen".