5305672584 has 32 divisors (see below), whose sum is σ = 14737980000. Its totient is φ = 1768557456.

The previous prime is 5305672577. The next prime is 5305672633. The reversal of 5305672584 is 4852765035.

5305672584 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 67 + 2 + 584 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12281434 + ... + 12281865.

It is an arithmetic number, because the mean of its divisors is an integer number (460561875).

Almost surely, 2^5305672584 is an apocalyptic number.

5305672584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5305672584 is an abundant number, since it is smaller than the sum of its proper divisors (9432307416).

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

5305672584 is a wasteful number, since it uses less digits than its factorization.

5305672584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24563314 (or 24563304 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5305672584 is about 72840.0479406762. The cubic root of 5305672584 is about 1744.1352062853.

The spelling of 5305672584 in words is "five billion, three hundred five million, six hundred seventy-two thousand, five hundred eighty-four".