30820825952 has 144 divisors (see below), whose sum is σ = 74835750528. Its totient is φ = 12436623360.

The previous prime is 30820825949. The next prime is 30820825957. The reversal of 30820825952 is 25952802803.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30820825957) 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, 1789928 + ... + 1807064.

It is an arithmetic number, because the mean of its divisors is an integer number (519692712).

Almost surely, 2^30820825952 is an apocalyptic number.

30820825952 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 30820825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37417875264).

30820825952 is an abundant number, since it is smaller than the sum of its proper divisors (44014924576).

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

30820825952 is a wasteful number, since it uses less digits than its factorization.

30820825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17229 (or 17214 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 30820825952 in words is "thirty billion, eight hundred twenty million, eight hundred twenty-five thousand, nine hundred fifty-two".