30085432416 has 288 divisors, whose sum is σ = 95689732320. Its totient is φ = 8902656000.

The previous prime is 30085432411. The next prime is 30085432427. The reversal of 30085432416 is 61423458003.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30085432411) 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 47 ways as a sum of consecutive naturals, for example, 43538631 + ... + 43539321.

It is an arithmetic number, because the mean of its divisors is an integer number (332256015).

Almost surely, 2^30085432416 is an apocalyptic number.

30085432416 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 30085432416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47844866160).

30085432416 is an abundant number, since it is smaller than the sum of its proper divisors (65604299904).

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

30085432416 is a wasteful number, since it uses less digits than its factorization.

30085432416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30085432416 in words is "thirty billion, eighty-five million, four hundred thirty-two thousand, four hundred sixteen".