30085770816 has 224 divisors, whose sum is σ = 95273164800. Its totient is φ = 9282746880.

The previous prime is 30085770811. The next prime is 30085770823. The reversal of 30085770816 is 61807758003.

It is not an unprimeable number, because it can be changed into a prime (30085770811) by changing a digit.

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, 1219855 + ... + 1244273.

Almost surely, 2^30085770816 is an apocalyptic number.

30085770816 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 30085770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47636582400).

30085770816 is an abundant number, since it is smaller than the sum of its proper divisors (65187393984).

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

30085770816 is a wasteful number, since it uses less digits than its factorization.

30085770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24494 (or 24478 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 30085770816 in words is "thirty billion, eighty-five million, seven hundred seventy thousand, eight hundred sixteen".