30128627776 has 63 divisors (see below), whose sum is σ = 64778035671. Its totient is φ = 13897188864.

The previous prime is 30128627729. The next prime is 30128627783. The reversal of 30128627776 is 67772682103.

It is a happy number.

The square root of 30128627776 is 173576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3682062400 + 26446565376 = 60680^2 + 162624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18051070 + ... + 18052738.

Almost surely, 2^30128627776 is an apocalyptic number.

30128627776 is the 173576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30128627776

30128627776 is an abundant number, since it is smaller than the sum of its proper divisors (34649407895).

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

30128627776 is an frugal number, since it uses more digits than its factorization.

30128627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 49.

Multiplying 30128627776 by its sum of digits (49), we get a square (1476302761024 = 1215032²).

The spelling of 30128627776 in words is "thirty billion, one hundred twenty-eight million, six hundred twenty-seven thousand, seven hundred seventy-six".