52144774560 has 288 divisors, whose sum is σ = 188715880080. Its totient is φ = 13066174464.

The previous prime is 52144774511. The next prime is 52144774567. The reversal of 52144774560 is 6547744125.

52144774560 is a `hidden beast` number, since 5 + 2 + 14 + 4 + 7 + 74 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31674032784 + 20470741776 = 177972^2 + 143076^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52144774567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19803004 + ... + 19805636.

Almost surely, 2^52144774560 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 52144774560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94357940040).

52144774560 is an abundant number, since it is smaller than the sum of its proper divisors (136571105520).

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

52144774560 is a wasteful number, since it uses less digits than its factorization.

52144774560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

It can be divided in two parts, 5214 and 4774560, that added together give a palindrome (4779774).

The spelling of 52144774560 in words is "fifty-two billion, one hundred forty-four million, seven hundred seventy-four thousand, five hundred sixty".