5288146560 has 384 divisors, whose sum is σ = 19469923200. Its totient is φ = 1370566656.

The previous prime is 5288146559. The next prime is 5288146573. The reversal of 5288146560 is 656418825.

5288146560 is a `hidden beast` number, since 5 + 2 + 8 + 81 + 4 + 6 + 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5753781 + ... + 5754699.

It is an arithmetic number, because the mean of its divisors is an integer number (50702925).

Almost surely, 2^5288146560 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 5288146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9734961600).

5288146560 is an abundant number, since it is smaller than the sum of its proper divisors (14181776640).

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

5288146560 is an equidigital number, since it uses as much as digits as its factorization.

5288146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 5288146560 is about 72719.6435634829. The cubic root of 5288146560 is about 1742.2126429240.

The spelling of 5288146560 in words is "five billion, two hundred eighty-eight million, one hundred forty-six thousand, five hundred sixty".