30455187653120 has 80 divisors (see below), whose sum is σ = 73043026297560. Its totient is φ = 12178412273664.

The previous prime is 30455187653113. The next prime is 30455187653129. The reversal of 30455187653120 is 2135678155403.

It can be written as a sum of positive squares in 4 ways, for example, as 18263246696704 + 12191940956416 = 4273552^2 + 3491696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (30455187653129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6735434 + ... + 10309046.

Almost surely, 2^{30455187653120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30455187653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36521513148780).

30455187653120 is an abundant number, since it is smaller than the sum of its proper divisors (42587838644440).

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

30455187653120 is an equidigital number, since it uses as much as digits as its factorization.

30455187653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576965 (or 3576949 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 50.

The spelling of 30455187653120 in words is "thirty trillion, four hundred fifty-five billion, one hundred eighty-seven million, six hundred fifty-three thousand, one hundred twenty".