30825808272 has 360 divisors, whose sum is σ = 105585742080. Its totient is φ = 8359303680.

The previous prime is 30825808271. The next prime is 30825808283. The reversal of 30825808272 is 27280852803.

It is not an unprimeable number, because it can be changed into a prime (30825808271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11591679 + ... + 11594337.

It is an arithmetic number, because the mean of its divisors is an integer number (293293728).

Almost surely, 2^30825808272 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 30825808272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52792871040).

30825808272 is an abundant number, since it is smaller than the sum of its proper divisors (74759933808).

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

30825808272 is a wasteful number, since it uses less digits than its factorization.

30825808272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 30825808272 in words is "thirty billion, eight hundred twenty-five million, eight hundred eight thousand, two hundred seventy-two".