30820870771328 has 128 divisors (see below), whose sum is σ = 68131492416000. Its totient is φ = 13769342540800.

The previous prime is 30820870771307. The next prime is 30820870771367. The reversal of 30820870771328 is 82317707802803.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459437693 + ... + 459504771.

It is an arithmetic number, because the mean of its divisors is an integer number (532277284500).

Almost surely, 2^{30820870771328} 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 30820870771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34065746208000).

30820870771328 is an abundant number, since it is smaller than the sum of its proper divisors (37310621644672).

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

30820870771328 is a wasteful number, since it uses less digits than its factorization.

30820870771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72694 (or 72682 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 56.

The spelling of 30820870771328 in words is "thirty trillion, eight hundred twenty billion, eight hundred seventy million, seven hundred seventy-one thousand, three hundred twenty-eight".