85552961417 has 32 divisors (see below), whose sum is σ = 112479943680. Its totient is φ = 63041993280.

The previous prime is 85552961411. The next prime is 85552961447. The reversal of 85552961417 is 71416925558.

It is not a de Polignac number, because 85552961417 - 2¹⁰ = 85552960393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85552961411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762398 + ... + 867384.

It is an arithmetic number, because the mean of its divisors is an integer number (3514998240).

Almost surely, 2^85552961417 is an apocalyptic number.

It is an amenable number.

85552961417 is a deficient number, since it is larger than the sum of its proper divisors (26926982263).

85552961417 is a wasteful number, since it uses less digits than its factorization.

85552961417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105581.

The product of its digits is 3024000, while the sum is 53.

The spelling of 85552961417 in words is "eighty-five billion, five hundred fifty-two million, nine hundred sixty-one thousand, four hundred seventeen".