5307442560 has 384 divisors, whose sum is σ = 21118406400. Its totient is φ = 1203130368.

The previous prime is 5307442507. The next prime is 5307442561. The reversal of 5307442560 is 652447035.

5307442560 is a `hidden beast` number, since 53 + 0 + 7 + 4 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5307442561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5604007 + ... + 5604953.

It is an arithmetic number, because the mean of its divisors is an integer number (54995850).

Almost surely, 2^5307442560 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 5307442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559203200).

5307442560 is an abundant number, since it is smaller than the sum of its proper divisors (15810963840).

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

5307442560 is a wasteful number, since it uses less digits than its factorization.

5307442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5307442560 is about 72852.1966724408. The cubic root of 5307442560 is about 1744.3291329545.

Adding to 5307442560 its reverse (652447035), we get a palindrome (5959889595).

The spelling of 5307442560 in words is "five billion, three hundred seven million, four hundred forty-two thousand, five hundred sixty".