30955567104 has 576 divisors, whose sum is σ = 118115262720. Its totient is φ = 7561543680.

The previous prime is 30955567103. The next prime is 30955567127. The reversal of 30955567104 is 40176555903.

30955567104 is a `hidden beast` number, since 3 + 0 + 95 + 556 + 7 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 30955567104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30955567103) 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, 24126847 + ... + 24128129.

It is an arithmetic number, because the mean of its divisors is an integer number (205061220).

Almost surely, 2^30955567104 is an apocalyptic number.

30955567104 is a gapful number since it is divisible by the number (34) 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 30955567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59057631360).

30955567104 is an abundant number, since it is smaller than the sum of its proper divisors (87159695616).

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

30955567104 is a wasteful number, since it uses less digits than its factorization.

30955567104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 30955567104 in words is "thirty billion, nine hundred fifty-five million, five hundred sixty-seven thousand, one hundred four".