30531506741120 has 512 divisors, whose sum is σ = 94387731840000. Its totient is φ = 9163759288320.

The previous prime is 30531506741119. The next prime is 30531506741137. The reversal of 30531506741120 is 2114760513503.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 541608296 + ... + 541664664.

It is an arithmetic number, because the mean of its divisors is an integer number (184351038750).

Almost surely, 2^{30531506741120} 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 30531506741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47193865920000).

30531506741120 is an abundant number, since it is smaller than the sum of its proper divisors (63856225098880).

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

30531506741120 is a wasteful number, since it uses less digits than its factorization.

30531506741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56814 (or 56802 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 30531506741120 in words is "thirty trillion, five hundred thirty-one billion, five hundred six million, seven hundred forty-one thousand, one hundred twenty".