30199572144 has 400 divisors, whose sum is σ = 102903913728. Its totient is φ = 8372242944.

The previous prime is 30199572119. The next prime is 30199572167. The reversal of 30199572144 is 44127599103.

30199572144 is a `hidden beast` number, since 30 + 1 + 9 + 9 + 572 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30199572144.

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 79 ways as a sum of consecutive naturals, for example, 51447019 + ... + 51447605.

Almost surely, 2^30199572144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30199572144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51451956864).

30199572144 is an abundant number, since it is smaller than the sum of its proper divisors (72704341584).

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

30199572144 is a wasteful number, since it uses less digits than its factorization.

30199572144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 30199572144 in words is "thirty billion, one hundred ninety-nine million, five hundred seventy-two thousand, one hundred forty-four".