30075212160 has 1152 divisors, whose sum is σ = 130279181760. Its totient is φ = 6358302720.

The previous prime is 30075212131. The next prime is 30075212203. The reversal of 30075212160 is 6121257003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 266152264 + ... + 266152376.

Almost surely, 2^30075212160 is an apocalyptic number.

30075212160 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 30075212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65139590880).

30075212160 is an abundant number, since it is smaller than the sum of its proper divisors (100203969600).

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

30075212160 is a wasteful number, since it uses less digits than its factorization.

30075212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 30075212160 its reverse (6121257003), we get a palindrome (36196469163).

The spelling of 30075212160 in words is "thirty billion, seventy-five million, two hundred twelve thousand, one hundred sixty".