9965269350 has 384 divisors, whose sum is σ = 29698099200. Its totient is φ = 2453068800.

The previous prime is 9965269343. The next prime is 9965269357. The reversal of 9965269350 is 539625699.

It is an interprime number because it is at equal distance from previous prime (9965269343) and next prime (9965269357).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965269357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126142611 + ... + 126142689.

It is an arithmetic number, because the mean of its divisors is an integer number (77338800).

Almost surely, 2^9965269350 is an apocalyptic number.

9965269350 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 9965269350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

9965269350 is an abundant number, since it is smaller than the sum of its proper divisors (19732829850).

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

9965269350 is a wasteful number, since it uses less digits than its factorization.

9965269350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The square root of 9965269350 is about 99826.1957103445. The cubic root of 9965269350 is about 2151.9376330776.

The spelling of 9965269350 in words is "nine billion, nine hundred sixty-five million, two hundred sixty-nine thousand, three hundred fifty".