30358080000 has 600 divisors, whose sum is σ = 111675852288. Its totient is φ = 7934976000.

The previous prime is 30358079989. The next prime is 30358080001. The reversal of 30358080000 is 8085303.

30358080000 is a `hidden beast` number, since 3 + 0 + 3 + 580 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×30358080000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30358080001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 239039937 + ... + 239040063.

Almost surely, 2^30358080000 is an apocalyptic number.

30358080000 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 30358080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55837926144).

30358080000 is an abundant number, since it is smaller than the sum of its proper divisors (81317772288).

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

30358080000 is an equidigital number, since it uses as much as digits as its factorization.

30358080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 30358080000 in words is "thirty billion, three hundred fifty-eight million, eighty thousand".