30130071552000 has 2880 divisors, whose sum is σ = 133190840240640. Its totient is φ = 6664716288000.

The previous prime is 30130071551977. The next prime is 30130071552043. The reversal of 30130071552000 is 25517003103.

30130071552000 is a `hidden beast` number, since 3 + 0 + 1 + 300 + 7 + 155 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 971937791985 + ... + 971937792015.

It is an arithmetic number, because the mean of its divisors is an integer number (46246819528).

Almost surely, 2^{30130071552000} is an apocalyptic number.

30130071552000 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 30130071552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66595420120320).

30130071552000 is an abundant number, since it is smaller than the sum of its proper divisors (103060768688640).

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

30130071552000 is an frugal number, since it uses more digits than its factorization.

30130071552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 30130071552000 its reverse (25517003103), we get a palindrome (30155588555103).

The spelling of 30130071552000 in words is "thirty trillion, one hundred thirty billion, seventy-one million, five hundred fifty-two thousand".