30109787136 has 792 divisors, whose sum is σ = 107820108032. Its totient is φ = 8028979200.

The previous prime is 30109787131. The next prime is 30109787153. The reversal of 30109787136 is 63178790103.

It is a tau number, because it is divible by the number of its divisors (792).

It is a junction number, because it is equal to n+sod(n) for n = 30109787091 and 30109787100.

It is not an unprimeable number, because it can be changed into a prime (30109787131) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 449399775 + ... + 449399841.

Almost surely, 2^30109787136 is an apocalyptic number.

30109787136 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 30109787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53910054016).

30109787136 is an abundant number, since it is smaller than the sum of its proper divisors (77710320896).

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

30109787136 is a wasteful number, since it uses less digits than its factorization.

30109787136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 30109787136 in words is "thirty billion, one hundred nine million, seven hundred eighty-seven thousand, one hundred thirty-six".