30265842073600 has 513 divisors, whose sum is σ = 87599035352853. Its totient is φ = 10343059292160.

The previous prime is 30265842073583. The next prime is 30265842073619. The reversal of 30265842073600 is 637024856203.

The square root of 30265842073600 is 5501440.

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

It can be written as a sum of positive squares in only one way, i.e., 10895703146496 + 19370138927104 = 3300864^2 + 4401152^2 .

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 26 ways as a sum of consecutive naturals, for example, 98585804647 + ... + 98585804953.

Almost surely, 2^{30265842073600} is an apocalyptic number.

30265842073600 is the 5501440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30265842073600

30265842073600 is an abundant number, since it is smaller than the sum of its proper divisors (57333193279253).

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

30265842073600 is an frugal number, since it uses more digits than its factorization.

30265842073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 30265842073600 in words is "thirty trillion, two hundred sixty-five billion, eight hundred forty-two million, seventy-three thousand, six hundred".