30823006500 has 576 divisors, whose sum is σ = 120295768320. Its totient is φ = 6531840000.

The previous prime is 30823006499. The next prime is 30823006531. The reversal of 30823006500 is 560032803.

30823006500 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 3 + 0 + 0 + 650 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12225240 + ... + 12227760.

It is an arithmetic number, because the mean of its divisors is an integer number (208846820).

Almost surely, 2^30823006500 is an apocalyptic number.

30823006500 is a gapful number since it is divisible by the number (30) 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 30823006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147884160).

30823006500 is an abundant number, since it is smaller than the sum of its proper divisors (89472761820).

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

30823006500 is a wasteful number, since it uses less digits than its factorization.

30823006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 30823006500 in words is "thirty billion, eight hundred twenty-three million, six thousand, five hundred".