5959804095441 has 81 divisors (see below), whose sum is σ = 10123018675419. Its totient is φ = 3368953980000.

The previous prime is 5959804095361. The next prime is 5959804095461. The reversal of 5959804095441 is 1445904089595.

The square root of 5959804095441 is 2441271.

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

5959804095441 is a `hidden beast` number, since 5 + 9 + 5 + 9 + 80 + 4 + 0 + 9 + 544 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5726109199041 + 233694896400 = 2392929^2 + 483420^2 .

It is not a de Polignac number, because 5959804095441 - 2¹⁹ = 5959803571153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5959804095461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5177935216 + ... + 5177936366.

Almost surely, 2^{5959804095441} is an apocalyptic number.

5959804095441 is the 2441271-st square number.

5959804095441 is the 1220636-th centered octagonal number.

It is an amenable number.

5959804095441 is a deficient number, since it is larger than the sum of its proper divisors (4163214579978).

5959804095441 is an equidigital number, since it uses as much as digits as its factorization.

5959804095441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 5959804095441 in words is "five trillion, nine hundred fifty-nine billion, eight hundred four million, ninety-five thousand, four hundred forty-one".