30350128896 has 288 divisors, whose sum is σ = 93245644800. Its totient is φ = 9727119360.

The previous prime is 30350128877. The next prime is 30350128903. The reversal of 30350128896 is 69882105303.

It is a happy number.

30350128896 is a `hidden beast` number, since 30 + 3 + 501 + 28 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×30350128896² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42211225 + ... + 42211943.

It is an arithmetic number, because the mean of its divisors is an integer number (323769600).

Almost surely, 2^30350128896 is an apocalyptic number.

30350128896 is a gapful number since it is divisible by the number (36) 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 30350128896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46622822400).

30350128896 is an abundant number, since it is smaller than the sum of its proper divisors (62895515904).

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

30350128896 is a wasteful number, since it uses less digits than its factorization.

30350128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 30350128896 in words is "thirty billion, three hundred fifty million, one hundred twenty-eight thousand, eight hundred ninety-six".