85777443225 has 72 divisors (see below), whose sum is σ = 164774900160. Its totient is φ = 42522330240.

The previous prime is 85777443217. The next prime is 85777443251. The reversal of 85777443225 is 52234477758.

It is a happy number.

85777443225 is a `hidden beast` number, since 8 + 577 + 7 + 4 + 43 + 2 + 25 = 666.

It is not a de Polignac number, because 85777443225 - 2³ = 85777443217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37284 + ... + 415866.

It is an arithmetic number, because the mean of its divisors is an integer number (2288540280).

Almost surely, 2^85777443225 is an apocalyptic number.

It is an amenable number.

85777443225 is a deficient number, since it is larger than the sum of its proper divisors (78997456935).

85777443225 is a wasteful number, since it uses less digits than its factorization.

85777443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378671 (or 378663 counting only the distinct ones).

The product of its digits is 13171200, while the sum is 54.

The spelling of 85777443225 in words is "eighty-five billion, seven hundred seventy-seven million, four hundred forty-three thousand, two hundred twenty-five".