30506610000 has 200 divisors, whose sum is σ = 99361944000. Its totient is φ = 8062208000.

The previous prime is 30506609993. The next prime is 30506610037. The reversal of 30506610000 is 1660503.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3385501 + ... + 3394499.

It is an arithmetic number, because the mean of its divisors is an integer number (496809720).

Almost surely, 2^30506610000 is an apocalyptic number.

30506610000 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 30506610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49680972000).

30506610000 is an abundant number, since it is smaller than the sum of its proper divisors (68855334000).

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

30506610000 is a wasteful number, since it uses less digits than its factorization.

30506610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The spelling of 30506610000 in words is "thirty billion, five hundred six million, six hundred ten thousand".