30320368028160 has 640 divisors, whose sum is σ = 117487476463104. Its totient is φ = 6511940075520.

The previous prime is 30320368028131. The next prime is 30320368028161. The reversal of 30320368028160 is 6182086302303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30320368028161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560205900 + ... + 560260020.

Almost surely, 2^{30320368028160} is an apocalyptic number.

30320368028160 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 30320368028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58743738231552).

30320368028160 is an abundant number, since it is smaller than the sum of its proper divisors (87167108434944).

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

30320368028160 is a wasteful number, since it uses less digits than its factorization.

30320368028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54784 (or 54768 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 30320368028160 in words is "thirty trillion, three hundred twenty billion, three hundred sixty-eight million, twenty-eight thousand, one hundred sixty".