30575904128 has 512 divisors, whose sum is σ = 86482944000. Its totient is φ = 10401177600.

The previous prime is 30575904113. The next prime is 30575904131. The reversal of 30575904128 is 82140957503.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 133519118 + ... + 133519346.

It is an arithmetic number, because the mean of its divisors is an integer number (168912000).

Almost surely, 2^30575904128 is an apocalyptic number.

30575904128 is a gapful number since it is divisible by the number (38) 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 30575904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43241472000).

30575904128 is an abundant number, since it is smaller than the sum of its proper divisors (55907039872).

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

30575904128 is a wasteful number, since it uses less digits than its factorization.

30575904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 30575904128 in words is "thirty billion, five hundred seventy-five million, nine hundred four thousand, one hundred twenty-eight".