89820636890625 has 189 divisors, whose sum is σ = 164286630326871. Its totient is φ = 47288310300000.

The previous prime is 89820636890591. The next prime is 89820636890689. The reversal of 89820636890625 is 52609863602898.

The square root of 89820636890625 is 9477375.

It is a perfect power (a square), and thus also a powerful number.

89820636890625 is a `hidden beast` number, since 89 + 82 + 0 + 6 + 368 + 90 + 6 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 78691500697329 + 11129136193296 = 8870823^2 + 3336036^2 .

It is not a de Polignac number, because 89820636890625 - 2¹⁵ = 89820636857857 is a prime.

It is a super-2 number, since 2×89820636890625² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

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 188 ways as a sum of consecutive naturals, for example, 451359984276 + ... + 451359984474.

Almost surely, 2^{89820636890625} is an apocalyptic number.

89820636890625 is the 9477375-th square number.

89820636890625 is the 4738688-th centered octagonal number.

It is an amenable number.

89820636890625 is a deficient number, since it is larger than the sum of its proper divisors (74465993436246).

89820636890625 is an frugal number, since it uses more digits than its factorization.

89820636890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 89820636890625 in words is "eighty-nine trillion, eight hundred twenty billion, six hundred thirty-six million, eight hundred ninety thousand, six hundred twenty-five".