30580872192 has 440 divisors, whose sum is σ = 99867398400. Its totient is φ = 9264513024.

The previous prime is 30580872167. The next prime is 30580872199. The reversal of 30580872192 is 29127808503.

It is a happy number.

30580872192 is a `hidden beast` number, since 305 + 80 + 87 + 2 + 192 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30580872199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85183309 + ... + 85183667.

It is an arithmetic number, because the mean of its divisors is an integer number (226971360).

Almost surely, 2^30580872192 is an apocalyptic number.

30580872192 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 30580872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933699200).

30580872192 is an abundant number, since it is smaller than the sum of its proper divisors (69286526208).

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

30580872192 is a wasteful number, since it uses less digits than its factorization.

30580872192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 30580872192 in words is "thirty billion, five hundred eighty million, eight hundred seventy-two thousand, one hundred ninety-two".