30097314180 has 288 divisors, whose sum is σ = 98570908800. Its totient is φ = 7699442688.

The previous prime is 30097314167. The next prime is 30097314187. The reversal of 30097314180 is 8141379003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30097314187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25227664 + ... + 25228856.

It is an arithmetic number, because the mean of its divisors is an integer number (342260100).

Almost surely, 2^30097314180 is an apocalyptic number.

30097314180 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 30097314180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49285454400).

30097314180 is an abundant number, since it is smaller than the sum of its proper divisors (68473594620).

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

30097314180 is a wasteful number, since it uses less digits than its factorization.

30097314180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30097314180 in words is "thirty billion, ninety-seven million, three hundred fourteen thousand, one hundred eighty".