85198784226561 has 24 divisors (see below), whose sum is σ = 123088067132160. Its totient is φ = 56788502803200.

The previous prime is 85198784226529. The next prime is 85198784226571. The reversal of 85198784226561 is 16562248789158.

85198784226561 is a `hidden beast` number, since 8 + 5 + 1 + 9 + 87 + 8 + 422 + 65 + 61 = 666.

It is not a de Polignac number, because 85198784226561 - 2⁵ = 85198784226529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85198784226561.

It is not an unprimeable number, because it can be changed into a prime (85198784226571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1772034120 + ... + 1772082198.

It is an arithmetic number, because the mean of its divisors is an integer number (5128669463840).

Almost surely, 2^{85198784226561} is an apocalyptic number.

It is an amenable number.

85198784226561 is a deficient number, since it is larger than the sum of its proper divisors (37889282905599).

85198784226561 is a wasteful number, since it uses less digits than its factorization.

85198784226561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81037 (or 81034 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 85198784226561 in words is "eighty-five trillion, one hundred ninety-eight billion, seven hundred eighty-four million, two hundred twenty-six thousand, five hundred sixty-one".