30905128800 has 864 divisors, whose sum is σ = 139175592192. Its totient is φ = 6516910080.

The previous prime is 30905128783. The next prime is 30905128811. The reversal of 30905128800 is 882150903.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×30905128800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 17689527 + ... + 17691273.

Almost surely, 2^30905128800 is an apocalyptic number.

30905128800 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 30905128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69587796096).

30905128800 is an abundant number, since it is smaller than the sum of its proper divisors (108270463392).

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

30905128800 is a wasteful number, since it uses less digits than its factorization.

30905128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 30905128800 in words is "thirty billion, nine hundred five million, one hundred twenty-eight thousand, eight hundred".