30455494560 has 480 divisors, whose sum is σ = 114749323920. Its totient is φ = 7580418048.

The previous prime is 30455494513. The next prime is 30455494561. The reversal of 30455494560 is 6549455403.

30455494560 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 549 + 45 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15885073296 + 14570421264 = 126036^2 + 120708^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30455494561) 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 79 ways as a sum of consecutive naturals, for example, 30183336 + ... + 30184344.

Almost surely, 2^30455494560 is an apocalyptic number.

30455494560 is a gapful number since it is divisible by the number (30) 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 30455494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57374661960).

30455494560 is an abundant number, since it is smaller than the sum of its proper divisors (84293829360).

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

30455494560 is a wasteful number, since it uses less digits than its factorization.

30455494560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 30455494560 in words is "thirty billion, four hundred fifty-five million, four hundred ninety-four thousand, five hundred sixty".