30775394016 has 288 divisors, whose sum is σ = 93411208800. Its totient is φ = 9976919040.

The previous prime is 30775394011. The next prime is 30775394033. The reversal of 30775394016 is 61049357703.

30775394016 is a `hidden beast` number, since 3 + 0 + 77 + 539 + 40 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30775394011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345790900 + ... + 345790988.

It is an arithmetic number, because the mean of its divisors is an integer number (324344475).

Almost surely, 2^30775394016 is an apocalyptic number.

30775394016 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 30775394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46705604400).

30775394016 is an abundant number, since it is smaller than the sum of its proper divisors (62635814784).

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

30775394016 is an frugal number, since it uses more digits than its factorization.

30775394016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 30775394016 in words is "thirty billion, seven hundred seventy-five million, three hundred ninety-four thousand, sixteen".