395580265385761 has 16 divisors (see below), whose sum is σ = 419167832264208. Its totient is φ = 372028137062400.

The previous prime is 395580265385741. The next prime is 395580265385933. The reversal of 395580265385761 is 167583562085593.

It can be written as a sum of positive squares in 8 ways, for example, as 16423818022161 + 379156447363600 = 4052631^2 + 19471940^2 .

It is a cyclic number.

It is not a de Polignac number, because 395580265385761 - 2¹⁹ = 395580264861473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395580265385741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140007141 + ... + 142804621.

It is an arithmetic number, because the mean of its divisors is an integer number (26197989516513).

Almost surely, 2^{395580265385761} is an apocalyptic number.

It is an amenable number.

395580265385761 is a deficient number, since it is larger than the sum of its proper divisors (23587566878447).

395580265385761 is a wasteful number, since it uses less digits than its factorization.

395580265385761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803812.

The product of its (nonzero) digits is 1632960000, while the sum is 73.

The spelling of 395580265385761 in words is "three hundred ninety-five trillion, five hundred eighty billion, two hundred sixty-five million, three hundred eighty-five thousand, seven hundred sixty-one".