30164011200 has 420 divisors, whose sum is σ = 117405969912. Its totient is φ = 7570022400.

The previous prime is 30164011187. The next prime is 30164011201. The reversal of 30164011200 is 211046103.

It is a happy number.

30164011200 is a `hidden beast` number, since 3 + 0 + 1 + 640 + 1 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30164011201) 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, 2196355 + ... + 2210045.

Almost surely, 2^30164011200 is an apocalyptic number.

30164011200 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 30164011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58702984956).

30164011200 is an abundant number, since it is smaller than the sum of its proper divisors (87241958712).

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

30164011200 is a wasteful number, since it uses less digits than its factorization.

30164011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13742 (or 13718 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 30164011200 its reverse (211046103), we get a palindrome (30375057303).

The spelling of 30164011200 in words is "thirty billion, one hundred sixty-four million, eleven thousand, two hundred".