30805485898992 has 320 divisors, whose sum is σ = 94988087040000. Its totient is φ = 8416625946624.

The previous prime is 30805485898961. The next prime is 30805485898997. The reversal of 30805485898992 is 29989858450803.

It is a super-2 number, since 2×30805485898992² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30805485898997) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3582445509 + ... + 3582454107.

It is an arithmetic number, because the mean of its divisors is an integer number (296837772000).

Almost surely, 2^{30805485898992} 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 30805485898992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47494043520000).

30805485898992 is an abundant number, since it is smaller than the sum of its proper divisors (64182601141008).

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

30805485898992 is a wasteful number, since it uses less digits than its factorization.

30805485898992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12128 (or 12122 counting only the distinct ones).

The product of its (nonzero) digits is 1791590400, while the sum is 78.

The spelling of 30805485898992 in words is "thirty trillion, eight hundred five billion, four hundred eighty-five million, eight hundred ninety-eight thousand, nine hundred ninety-two".