85989919955625 has 405 divisors, whose sum is σ = 191980406141667. Its totient is φ = 36961735104000.

The previous prime is 85989919955623. The next prime is 85989919955633. The reversal of 85989919955625 is 52655991998958.

The square root of 85989919955625 is 9273075.

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

85989919955625 is a `hidden beast` number, since 8 + 598 + 9 + 9 + 1 + 9 + 9 + 5 + 5 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 41993549339049 + 43996370616576 = 6480243^2 + 6632976^2 .

It is not a de Polignac number, because 85989919955625 - 2¹ = 85989919955623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (85989919955623) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 82762193856 + ... + 82762194894.

Almost surely, 2^{85989919955625} is an apocalyptic number.

85989919955625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

85989919955625 is the 9273075-th square number.

85989919955625 is the 4636538-th centered octagonal number.

It is an amenable number.

85989919955625 is an abundant number, since it is smaller than the sum of its proper divisors (105990486186042).

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

85989919955625 is an equidigital number, since it uses as much as digits as its factorization.

85989919955625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1071 counting only the distinct ones).

The product of its digits is 28343520000, while the sum is 90.

The spelling of 85989919955625 in words is "eighty-five trillion, nine hundred eighty-nine billion, nine hundred nineteen million, nine hundred fifty-five thousand, six hundred twenty-five".