30939148800 has 1440 divisors, whose sum is σ = 138522384000. Its totient is φ = 6827950080.

The previous prime is 30939148783. The next prime is 30939148813. The reversal of 30939148800 is 884193903.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1066867186 + ... + 1066867214.

It is an arithmetic number, because the mean of its divisors is an integer number (96196100).

Almost surely, 2^30939148800 is an apocalyptic number.

30939148800 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 30939148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69261192000).

30939148800 is an abundant number, since it is smaller than the sum of its proper divisors (107583235200).

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

30939148800 is an frugal number, since it uses more digits than its factorization.

30939148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 30939148800 in words is "thirty billion, nine hundred thirty-nine million, one hundred forty-eight thousand, eight hundred".