85519398969 has 21 divisors (see below), whose sum is σ = 128232282549. Its totient is φ = 57007668780.

The previous prime is 85519398961. The next prime is 85519398971. The reversal of 85519398969 is 96989391558.

The square root of 85519398969 is 292437.

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

85519398969 is a `hidden beast` number, since 8 + 551 + 9 + 3 + 9 + 8 + 9 + 69 = 666.

It is not a de Polignac number, because 85519398969 - 2³ = 85519398961 is a prime.

It is a super-2 number, since 2×85519398969² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85519398897 and 85519398906.

It is not an unprimeable number, because it can be changed into a prime (85519398961) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7890384 + ... + 7901214.

It is an arithmetic number, because the mean of its divisors is an integer number (6106299169).

Almost surely, 2^85519398969 is an apocalyptic number.

85519398969 is the 292437-th square number.

85519398969 is the 146219-th centered octagonal number.

It is an amenable number.

85519398969 is a deficient number, since it is larger than the sum of its proper divisors (42712883580).

85519398969 is an frugal number, since it uses more digits than its factorization.

85519398969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21680 (or 10834 counting only the distinct ones).

The product of its digits is 188956800, while the sum is 72.

The spelling of 85519398969 in words is "eighty-five billion, five hundred nineteen million, three hundred ninety-eight thousand, nine hundred sixty-nine".