30823507872 has 144 divisors (see below), whose sum is σ = 92786148000. Its totient is φ = 9679053312.

The previous prime is 30823507837. The next prime is 30823507873. The reversal of 30823507872 is 27870532803.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (30823507873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963754 + ... + 995222.

It is an arithmetic number, because the mean of its divisors is an integer number (644348250).

Almost surely, 2^30823507872 is an apocalyptic number.

30823507872 is a gapful number since it is divisible by the number (32) 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 30823507872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46393074000).

30823507872 is an abundant number, since it is smaller than the sum of its proper divisors (61962640128).

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

30823507872 is a wasteful number, since it uses less digits than its factorization.

30823507872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31683 (or 31672 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 30823507872 in words is "thirty billion, eight hundred twenty-three million, five hundred seven thousand, eight hundred seventy-two".