30285840816 has 640 divisors, whose sum is σ = 117206784000. Its totient is φ = 7396945920.

The previous prime is 30285840803. The next prime is 30285840839. The reversal of 30285840816 is 61804858203.

30285840816 is a `hidden beast` number, since 30 + 28 + 584 + 0 + 8 + 16 = 666.

It is a super-3 number, since 3×30285840816³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27708366 + ... + 27709458.

It is an arithmetic number, because the mean of its divisors is an integer number (183135600).

Almost surely, 2^30285840816 is an apocalyptic number.

30285840816 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 30285840816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58603392000).

30285840816 is an abundant number, since it is smaller than the sum of its proper divisors (86920943184).

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

30285840816 is a wasteful number, since it uses less digits than its factorization.

30285840816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 30285840816 in words is "thirty billion, two hundred eighty-five million, eight hundred forty thousand, eight hundred sixteen".