30788065152 has 768 divisors, whose sum is σ = 107784069120. Its totient is φ = 8343060480.

The previous prime is 30788065051. The next prime is 30788065157. The reversal of 30788065152 is 25156088703.

It is a junction number, because it is equal to n+sod(n) for n = 30788065098 and 30788065107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30788065157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370940503 + ... + 370940585.

It is an arithmetic number, because the mean of its divisors is an integer number (140343840).

Almost surely, 2^30788065152 is an apocalyptic number.

30788065152 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 30788065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53892034560).

30788065152 is an abundant number, since it is smaller than the sum of its proper divisors (76996003968).

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

30788065152 is a wasteful number, since it uses less digits than its factorization.

30788065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 30788065152 in words is "thirty billion, seven hundred eighty-eight million, sixty-five thousand, one hundred fifty-two".