8530090064100 has 324 divisors, whose sum is σ = 29497253443840. Its totient is φ = 2060262864000.

The previous prime is 8530090064057. The next prime is 8530090064137. The reversal of 8530090064100 is 14600900358.

8530090064100 is a `hidden beast` number, since 8 + 5 + 3 + 0 + 0 + 9 + 0 + 0 + 641 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 29367381 + ... + 29656419.

Almost surely, 2^{8530090064100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8530090064100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748626721920).

8530090064100 is an abundant number, since it is smaller than the sum of its proper divisors (20967163379740).

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

8530090064100 is a wasteful number, since it uses less digits than its factorization.

8530090064100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289352 (or 289331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 8530090064100 its reverse (14600900358), we get a palindrome (8544690964458).

The spelling of 8530090064100 in words is "eight trillion, five hundred thirty billion, ninety million, sixty-four thousand, one hundred".