5284608966 has 288 divisors, whose sum is σ = 15470477568. Its totient is φ = 1316399040.

The previous prime is 5284608943. The next prime is 5284608977. The reversal of 5284608966 is 6698064825.

It is a happy number.

5284608966 is a `hidden beast` number, since 5 + 28 + 4 + 608 + 9 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15965421 + ... + 15965751.

It is an arithmetic number, because the mean of its divisors is an integer number (53716936).

Almost surely, 2^5284608966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5284608966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735238784).

5284608966 is an abundant number, since it is smaller than the sum of its proper divisors (10185868602).

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

5284608966 is a wasteful number, since it uses less digits than its factorization.

5284608966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 5284608966 is about 72695.3159839064. The cubic root of 5284608966 is about 1741.8240621760.

The spelling of 5284608966 in words is "five billion, two hundred eighty-four million, six hundred eight thousand, nine hundred sixty-six".