30858009360 has 80 divisors (see below), whose sum is σ = 95791952256. Its totient is φ = 8217437184.

The previous prime is 30858009359. The next prime is 30858009397. The reversal of 30858009360 is 6390085803.

It is a tau number, because it is divible by the number of its divisors (80).

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, 86052 + ... + 262908.

Almost surely, 2^30858009360 is an apocalyptic number.

30858009360 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 30858009360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47895976128).

30858009360 is an abundant number, since it is smaller than the sum of its proper divisors (64933942896).

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

30858009360 is a wasteful number, since it uses less digits than its factorization.

30858009360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177600 (or 177594 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 30858009360 in words is "thirty billion, eight hundred fifty-eight million, nine thousand, three hundred sixty".