30858920064 has 384 divisors, whose sum is σ = 108192689280. Its totient is φ = 8241315840.

The previous prime is 30858920063. The next prime is 30858920089. The reversal of 30858920064 is 46002985803.

30858920064 is a `hidden beast` number, since 3 + 0 + 8 + 589 + 2 + 0 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (30858920063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22344654 + ... + 22346034.

It is an arithmetic number, because the mean of its divisors is an integer number (281751795).

Almost surely, 2^30858920064 is an apocalyptic number.

30858920064 is a gapful number since it is divisible by the number (34) 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 30858920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54096344640).

30858920064 is an abundant number, since it is smaller than the sum of its proper divisors (77333769216).

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

30858920064 is a wasteful number, since it uses less digits than its factorization.

30858920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30858920064 in words is "thirty billion, eight hundred fifty-eight million, nine hundred twenty thousand, sixty-four".