30565104672 has 192 divisors, whose sum is σ = 84297314304. Its totient is φ = 9689057280.

The previous prime is 30565104671. The next prime is 30565104697. The reversal of 30565104672 is 27640156503.

It is a super-2 number, since 2×30565104672² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30565104672.

It is not an unprimeable number, because it can be changed into a prime (30565104671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 23385043 + ... + 23386349.

It is an arithmetic number, because the mean of its divisors is an integer number (439048512).

Almost surely, 2^30565104672 is an apocalyptic number.

30565104672 is a gapful number since it is divisible by the number (32) 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 30565104672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42148657152).

30565104672 is an abundant number, since it is smaller than the sum of its proper divisors (53732209632).

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

30565104672 is a wasteful number, since it uses less digits than its factorization.

30565104672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 30565104672 in words is "thirty billion, five hundred sixty-five million, one hundred four thousand, six hundred seventy-two".