89205254560 has 24 divisors (see below), whose sum is σ = 210747414276. Its totient is φ = 35682101760.

The previous prime is 89205254557. The next prime is 89205254561. The reversal of 89205254560 is 6545250298.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86866951824 + 2338302736 = 294732^2 + 48356^2 .

It is a super-2 number, since 2×89205254560² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89205254560.

It is not an unprimeable number, because it can be changed into a prime (89205254561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278766261 + ... + 278766580.

Almost surely, 2^89205254560 is an apocalyptic number.

89205254560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89205254560 is an abundant number, since it is smaller than the sum of its proper divisors (121542159716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89205254560 is a wasteful number, since it uses less digits than its factorization.

89205254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557532856 (or 557532848 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 89205254560 in words is "eighty-nine billion, two hundred five million, two hundred fifty-four thousand, five hundred sixty".