8005638500 has 48 divisors (see below), whose sum is σ = 18087254640. Its totient is φ = 3091827200.

The previous prime is 8005638481. The next prime is 8005638547. The reversal of 8005638500 is 58365008.

It can be written as a sum of positive squares in 8 ways, for example, as 352538176 + 7653100324 = 18776^2 + 87482^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261557 + ... + 290556.

It is an arithmetic number, because the mean of its divisors is an integer number (376817805).

Almost surely, 2^8005638500 is an apocalyptic number.

It is an amenable number.

8005638500 is an abundant number, since it is smaller than the sum of its proper divisors (10081616140).

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

8005638500 is a wasteful number, since it uses less digits than its factorization.

8005638500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552161 (or 552149 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 8005638500 is about 89474.2337212228. The cubic root of 8005638500 is about 2000.4697646519.

The spelling of 8005638500 in words is "eight billion, five million, six hundred thirty-eight thousand, five hundred".