8504251920 has 60 divisors (see below), whose sum is σ = 28560115116. Its totient is φ = 2267800320.

The previous prime is 8504251913. The next prime is 8504251937. The reversal of 8504251920 is 291524058.

8504251920 is a `hidden beast` number, since 85 + 0 + 42 + 519 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3611529216 + 4892722704 = 60096^2 + 69948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5905011 + ... + 5906450.

Almost surely, 2^8504251920 is an apocalyptic number.

8504251920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8504251920 is an abundant number, since it is smaller than the sum of its proper divisors (20055863196).

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

8504251920 is a wasteful number, since it uses less digits than its factorization.

8504251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11811480 (or 11811471 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8504251920 is about 92218.5009637437. The cubic root of 8504251920 is about 2041.1677858210.

Adding to 8504251920 its reverse (291524058), we get a palindrome (8795775978).

The spelling of 8504251920 in words is "eight billion, five hundred four million, two hundred fifty-one thousand, nine hundred twenty".