99965085210 has 192 divisors, whose sum is σ = 282514980384. Its totient is φ = 24424857600.

The previous prime is 99965085191. The next prime is 99965085271. The reversal of 99965085210 is 1258056999.

It can be written as a sum of positive squares in 16 ways, for example, as 64208169 + 99900877041 = 8013^2 + 316071^2 .

It is a super-2 number, since 2×99965085210² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34939180 + ... + 34942040.

Almost surely, 2^99965085210 is an apocalyptic number.

99965085210 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99965085210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141257490192).

99965085210 is an abundant number, since it is smaller than the sum of its proper divisors (182549895174).

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

99965085210 is a wasteful number, since it uses less digits than its factorization.

With its successor (99965085211) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3486).

99965085210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 99965085210 in words is "ninety-nine billion, nine hundred sixty-five million, eighty-five thousand, two hundred ten".