30825083320 has 64 divisors (see below), whose sum is σ = 71502678720. Its totient is φ = 11951023104.

The previous prime is 30825083309. The next prime is 30825083321. The reversal of 30825083320 is 2338052803.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30825083321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349644 + ... + 428836.

It is an arithmetic number, because the mean of its divisors is an integer number (1117229355).

Almost surely, 2^30825083320 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 30825083320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35751339360).

30825083320 is an abundant number, since it is smaller than the sum of its proper divisors (40677595400).

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

30825083320 is a wasteful number, since it uses less digits than its factorization.

30825083320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79504 (or 79500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 30825083320 in words is "thirty billion, eight hundred twenty-five million, eighty-three thousand, three hundred twenty".