30460165130880 has 192 divisors, whose sum is σ = 108025535709000. Its totient is φ = 7903177924608.

The previous prime is 30460165130851. The next prime is 30460165130881. The reversal of 30460165130880 is 8803156106403.

30460165130880 is a `hidden beast` number, since 3 + 0 + 4 + 601 + 6 + 5 + 1 + 30 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20020183769664 + 10439981361216 = 4474392^2 + 3231096^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (30460165130881) 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 23 ways as a sum of consecutive naturals, for example, 71249355 + ... + 71675594.

Almost surely, 2^{30460165130880} is an apocalyptic number.

30460165130880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30460165130880 is an abundant number, since it is smaller than the sum of its proper divisors (77565370578120).

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

30460165130880 is a wasteful number, since it uses less digits than its factorization.

30460165130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142925011 (or 142924996 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 30460165130880 in words is "thirty trillion, four hundred sixty billion, one hundred sixty-five million, one hundred thirty thousand, eight hundred eighty".