30858396960 has 192 divisors, whose sum is σ = 101987472384. Its totient is φ = 7832678400.

The previous prime is 30858396953. The next prime is 30858396971. The reversal of 30858396960 is 6969385803.

It is a self number, because there is not a number n which added to its sum of digits gives 30858396960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890682 + ... + 924678.

It is an arithmetic number, because the mean of its divisors is an integer number (531184752).

Almost surely, 2^30858396960 is an apocalyptic number.

30858396960 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 30858396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993736192).

30858396960 is an abundant number, since it is smaller than the sum of its proper divisors (71129075424).

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

30858396960 is a wasteful number, since it uses less digits than its factorization.

30858396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34107 (or 34099 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 30858396960 in words is "thirty billion, eight hundred fifty-eight million, three hundred ninety-six thousand, nine hundred sixty".