8009072524900 has 36 divisors (see below), whose sum is σ = 17664600300340. Its totient is φ = 3151110499200.

The previous prime is 8009072524889. The next prime is 8009072524919. The reversal of 8009072524900 is 94252709008.

It can be written as a sum of positive squares in 6 ways, for example, as 1469176713216 + 6539895811684 = 1212096^2 + 2557322^2 .

It is a super-2 number, since 2×8009072524900² (a number of 27 digits) contains 22 as substring.

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, 656475255 + ... + 656487454.

Almost surely, 2^{8009072524900} is an apocalyptic number.

It is an amenable number.

8009072524900 is an abundant number, since it is smaller than the sum of its proper divisors (9655527775440).

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

8009072524900 is a wasteful number, since it uses less digits than its factorization.

8009072524900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312962784 (or 1312962777 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 8009072524900 in words is "eight trillion, nine billion, seventy-two million, five hundred twenty-four thousand, nine hundred".