85518931744201 has 16 divisors (see below), whose sum is σ = 88764751152000. Its totient is φ = 82326968241408.

The previous prime is 85518931744163. The next prime is 85518931744231. The reversal of 85518931744201 is 10244713981558.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85518931744201 - 2²¹ = 85518929647049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85518931744231) 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, 31125280 + ... + 33761233.

It is an arithmetic number, because the mean of its divisors is an integer number (5547796947000).

Almost surely, 2^{85518931744201} is an apocalyptic number.

It is an amenable number.

85518931744201 is a deficient number, since it is larger than the sum of its proper divisors (3245819407799).

85518931744201 is a wasteful number, since it uses less digits than its factorization.

85518931744201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64886928.

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 85518931744201 in words is "eighty-five trillion, five hundred eighteen billion, nine hundred thirty-one million, seven hundred forty-four thousand, two hundred one".