52811614465600 has 189 divisors, whose sum is σ = 138056242386963. Its totient is φ = 19880159170560.

The previous prime is 52811614465523. The next prime is 52811614465601. The reversal of 52811614465600 is 656441611825.

The square root of 52811614465600 is 7267160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1235316656704 + 51576297808896 = 1111448^2 + 7181664^2 .

It is a super-3 number, since 3×52811614465600³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52811614465601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4941663457 + ... + 4941674143.

Almost surely, 2^{52811614465600} is an apocalyptic number.

52811614465600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52811614465600 is the 7267160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52811614465600

52811614465600 is an abundant number, since it is smaller than the sum of its proper divisors (85244627921363).

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

52811614465600 is an frugal number, since it uses more digits than its factorization.

52811614465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21430 (or 10711 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 52811614465600 in words is "fifty-two trillion, eight hundred eleven billion, six hundred fourteen million, four hundred sixty-five thousand, six hundred".