30357664128072 has 384 divisors, whose sum is σ = 86768535540960. Its totient is φ = 9578850877440.

The previous prime is 30357664128037. The next prime is 30357664128089. The reversal of 30357664128072 is 27082146675303.

It is a happy number.

30357664128072 is a `hidden beast` number, since 3 + 0 + 3 + 576 + 6 + 41 + 28 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1900411130916 + 28457252997156 = 1378554^2 + 5334534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5937346188 + ... + 5937351300.

Almost surely, 2^{30357664128072} 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 30357664128072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43384267770480).

30357664128072 is an abundant number, since it is smaller than the sum of its proper divisors (56410871412888).

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

30357664128072 is a wasteful number, since it uses less digits than its factorization.

30357664128072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 30357664128072 in words is "thirty trillion, three hundred fifty-seven billion, six hundred sixty-four million, one hundred twenty-eight thousand, seventy-two".