30825016820 has 48 divisors (see below), whose sum is σ = 69861512448. Its totient is φ = 11357128320.

The previous prime is 30825016819. The next prime is 30825016841. The reversal of 30825016820 is 2861052803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5516 + ... + 248355.

It is an arithmetic number, because the mean of its divisors is an integer number (1455448176).

Almost surely, 2^30825016820 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 30825016820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34930756224).

30825016820 is an abundant number, since it is smaller than the sum of its proper divisors (39036495628).

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

30825016820 is a wasteful number, since it uses less digits than its factorization.

30825016820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254360 (or 254358 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 30825016820 in words is "thirty billion, eight hundred twenty-five million, sixteen thousand, eight hundred twenty".