30306899918880 has 144 divisors (see below), whose sum is σ = 111377857270680. Its totient is φ = 7460159975424.

The previous prime is 30306899918833. The next prime is 30306899918951. The reversal of 30306899918880 is 8881999860303.

30306899918880 is a `hidden beast` number, since 3 + 0 + 306 + 89 + 9 + 91 + 88 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19294829337744 + 11012070581136 = 4392588^2 + 3318444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30306899918799 and 30306899918808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809460445 + ... + 809497884.

Almost surely, 2^{30306899918880} is an apocalyptic number.

30306899918880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30306899918880 is an abundant number, since it is smaller than the sum of its proper divisors (81070957351800).

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

30306899918880 is a wasteful number, since it uses less digits than its factorization.

30306899918880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618958363 (or 1618958352 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 30306899918880 in words is "thirty trillion, three hundred six billion, eight hundred ninety-nine million, nine hundred eighteen thousand, eight hundred eighty".