5307752282112 has 1536 divisors, whose sum is σ = 19365573427200. Its totient is φ = 1422164459520.

The previous prime is 5307752282071. The next prime is 5307752282113. The reversal of 5307752282112 is 2112822577035.

It is a happy number.

5307752282112 is a `hidden beast` number, since 5 + 3 + 0 + 7 + 7 + 522 + 8 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307752282113) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41793324993 + ... + 41793325119.

It is an arithmetic number, because the mean of its divisors is an integer number (12607795200).

Almost surely, 2^{5307752282112} 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 5307752282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9682786713600).

5307752282112 is an abundant number, since it is smaller than the sum of its proper divisors (14057821145088).

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

5307752282112 is an equidigital number, since it uses as much as digits as its factorization.

5307752282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 5307752282112 in words is "five trillion, three hundred seven billion, seven hundred fifty-two million, two hundred eighty-two thousand, one hundred twelve".