90085742405569 has 8 divisors (see below), whose sum is σ = 95053414932000. Its totient is φ = 85140701645472.

The previous prime is 90085742405537. The next prime is 90085742405587. The reversal of 90085742405569 is 96550424758009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90085742405569 - 2⁵ = 90085742405537 is a prime.

It is a super-2 number, since 2×90085742405569² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90085742405569.

It is not an unprimeable number, because it can be changed into a prime (90085742405599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5657933404 + ... + 5657949325.

It is an arithmetic number, because the mean of its divisors is an integer number (11881676866500).

Almost surely, 2^{90085742405569} is an apocalyptic number.

It is an amenable number.

90085742405569 is a deficient number, since it is larger than the sum of its proper divisors (4967672526431).

90085742405569 is a wasteful number, since it uses less digits than its factorization.

90085742405569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11315883167.

The product of its (nonzero) digits is 108864000, while the sum is 64.

The spelling of 90085742405569 in words is "ninety trillion, eighty-five billion, seven hundred forty-two million, four hundred five thousand, five hundred sixty-nine".