30889328640 has 480 divisors, whose sum is σ = 105189934080. Its totient is φ = 7729053696.

The previous prime is 30889328633. The next prime is 30889328653. The reversal of 30889328640 is 4682398803.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391004121 + ... + 391004199.

It is an arithmetic number, because the mean of its divisors is an integer number (219145696).

Almost surely, 2^30889328640 is an apocalyptic number.

30889328640 is a gapful number since it is divisible by the number (30) 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 30889328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52594967040).

30889328640 is an abundant number, since it is smaller than the sum of its proper divisors (74300605440).

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

30889328640 is an equidigital number, since it uses as much as digits as its factorization.

30889328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 30889328640 in words is "thirty billion, eight hundred eighty-nine million, three hundred twenty-eight thousand, six hundred forty".