30506254160 has 40 divisors (see below), whose sum is σ = 70950432840. Its totient is φ = 12198477312.

The previous prime is 30506254159. The next prime is 30506254169. The reversal of 30506254160 is 6145260503.

It can be written as a sum of positive squares in 4 ways, for example, as 399840016 + 30106414144 = 19996^2 + 173512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30506254169) 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 7 ways as a sum of consecutive naturals, for example, 187394 + ... + 310046.

It is an arithmetic number, because the mean of its divisors is an integer number (1773760821).

Almost surely, 2^30506254160 is an apocalyptic number.

It is an amenable number.

30506254160 is an abundant number, since it is smaller than the sum of its proper divisors (40444178680).

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

30506254160 is a wasteful number, since it uses less digits than its factorization.

30506254160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125775 (or 125769 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 30506254160 in words is "thirty billion, five hundred six million, two hundred fifty-four thousand, one hundred sixty".