30201089750928 has 800 divisors, whose sum is σ = 95172508569600. Its totient is φ = 9220372964352.

The previous prime is 30201089750873. The next prime is 30201089750969. The reversal of 30201089750928 is 82905798010203.

30201089750928 is a `hidden beast` number, since 3 + 0 + 2 + 0 + 108 + 9 + 7 + 509 + 28 = 666.

It is a super-2 number, since 2×30201089750928² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32862991653 + ... + 32862992571.

It is an arithmetic number, because the mean of its divisors is an integer number (118965635712).

Almost surely, 2^{30201089750928} 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 30201089750928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47586254284800).

30201089750928 is an abundant number, since it is smaller than the sum of its proper divisors (64971418818672).

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

30201089750928 is a wasteful number, since it uses less digits than its factorization.

30201089750928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 30201089750928 in words is "thirty trillion, two hundred one billion, eighty-nine million, seven hundred fifty thousand, nine hundred twenty-eight".