30516699940128 has 432 divisors, whose sum is σ = 95684158192896. Its totient is φ = 9213544350720.

The previous prime is 30516699940127. The next prime is 30516699940151. The reversal of 30516699940128 is 82104999661503.

30516699940128 is a `hidden beast` number, since 3 + 0 + 516 + 6 + 9 + 9 + 94 + 0 + 1 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (30516699940121) 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 71 ways as a sum of consecutive naturals, for example, 267452626 + ... + 267566702.

It is an arithmetic number, because the mean of its divisors is an integer number (221491106928).

Almost surely, 2^{30516699940128} is an apocalyptic number.

30516699940128 is a gapful number since it is divisible by the number (38) 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 30516699940128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47842079096448).

30516699940128 is an abundant number, since it is smaller than the sum of its proper divisors (65167458252768).

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

30516699940128 is a wasteful number, since it uses less digits than its factorization.

30516699940128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114245 (or 114215 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 30516699940128 in words is "thirty trillion, five hundred sixteen billion, six hundred ninety-nine million, nine hundred forty thousand, one hundred twenty-eight".