8582450000 has 240 divisors, whose sum is σ = 23016026880. Its totient is φ = 3083520000.

The previous prime is 8582449999. The next prime is 8582450021. The reversal of 8582450000 is 542858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19549781 + ... + 19550219.

It is an arithmetic number, because the mean of its divisors is an integer number (95900112).

Almost surely, 2^8582450000 is an apocalyptic number.

8582450000 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 8582450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508013440).

8582450000 is an abundant number, since it is smaller than the sum of its proper divisors (14433576880).

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

8582450000 is a wasteful number, since it uses less digits than its factorization.

8582450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 8582450000 is about 92641.5133727855. The cubic root of 8582450000 is about 2047.4050052261.

Adding to 8582450000 its reverse (542858), we get a palindrome (8582992858).

The spelling of 8582450000 in words is "eight billion, five hundred eighty-two million, four hundred fifty thousand".