30638910512 has 240 divisors, whose sum is σ = 75723724800. Its totient is φ = 11936010240.

The previous prime is 30638910479. The next prime is 30638910551. The reversal of 30638910512 is 21501983603.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32980064 + ... + 32980992.

It is an arithmetic number, because the mean of its divisors is an integer number (315515520).

Almost surely, 2^30638910512 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 30638910512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37861862400).

30638910512 is an abundant number, since it is smaller than the sum of its proper divisors (45084814288).

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

30638910512 is a wasteful number, since it uses less digits than its factorization.

30638910512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 30638910512 in words is "thirty billion, six hundred thirty-eight million, nine hundred ten thousand, five hundred twelve".