8506080000 has 720 divisors, whose sum is σ = 34481462400. Its totient is φ = 2050560000.

The previous prime is 8506079993. The next prime is 8506080001. The reversal of 8506080000 is 806058.

8506080000 is a `hidden beast` number, since 8 + 50 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8506080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47519911 + ... + 47520089.

It is an arithmetic number, because the mean of its divisors is an integer number (47890920).

Almost surely, 2^8506080000 is an apocalyptic number.

8506080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8506080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240731200).

8506080000 is an abundant number, since it is smaller than the sum of its proper divisors (25975382400).

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

8506080000 is a wasteful number, since it uses less digits than its factorization.

8506080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8506080000 is about 92228.4121082001. The cubic root of 8506080000 is about 2041.3140322988.

Adding to 8506080000 its reverse (806058), we get a palindrome (8506886058).

The spelling of 8506080000 in words is "eight billion, five hundred six million, eighty thousand".