30555120960 has 1344 divisors, whose sum is σ = 139633708032. Its totient is φ = 5956042752.

The previous prime is 30555120949. The next prime is 30555120961. The reversal of 30555120960 is 6902155503.

30555120960 is a `hidden beast` number, since 3 + 0 + 55 + 512 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (30555120961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 223030012 + ... + 223030148.

It is an arithmetic number, because the mean of its divisors is an integer number (103894128).

Almost surely, 2^30555120960 is an apocalyptic number.

30555120960 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 30555120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69816854016).

30555120960 is an abundant number, since it is smaller than the sum of its proper divisors (109078587072).

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

30555120960 is a wasteful number, since it uses less digits than its factorization.

30555120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 30555120960 in words is "thirty billion, five hundred fifty-five million, one hundred twenty thousand, nine hundred sixty".