53056022243328 has 1344 divisors, whose sum is σ = 178509118591440. Its totient is φ = 15651333734400.

The previous prime is 53056022243291. The next prime is 53056022243359. The reversal of 53056022243328 is 82334222065035.

53056022243328 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 60 + 22 + 243 + 328 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5839994225664 + 47216028017664 = 2416608^2 + 6871392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48541648350 + ... + 48541649442.

Almost surely, 2^{53056022243328} 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 53056022243328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89254559295720).

53056022243328 is an abundant number, since it is smaller than the sum of its proper divisors (125453096348112).

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

53056022243328 is a wasteful number, since it uses less digits than its factorization.

53056022243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 53056022243328 in words is "fifty-three trillion, fifty-six billion, twenty-two million, two hundred forty-three thousand, three hundred twenty-eight".