30217068960 has 288 divisors, whose sum is σ = 105939912960. Its totient is φ = 7196682240.

The previous prime is 30217068883. The next prime is 30217068983. The reversal of 30217068960 is 6986071203.

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, 5994121 + ... + 5999159.

It is an arithmetic number, because the mean of its divisors is an integer number (367846920).

Almost surely, 2^30217068960 is an apocalyptic number.

30217068960 is a gapful number since it is divisible by the number (30) 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 30217068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52969956480).

30217068960 is an abundant number, since it is smaller than the sum of its proper divisors (75722844000).

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

30217068960 is a wasteful number, since it uses less digits than its factorization.

30217068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 30217068960 in words is "thirty billion, two hundred seventeen million, sixty-eight thousand, nine hundred sixty".