9995652810 has 384 divisors, whose sum is σ = 32956035840. Its totient is φ = 2065305600.

The previous prime is 9995652787. The next prime is 9995652847. The reversal of 9995652810 is 182565999.

9995652810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9995652810² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10025232 + ... + 10026228.

It is an arithmetic number, because the mean of its divisors is an integer number (85823010).

Almost surely, 2^9995652810 is an apocalyptic number.

9995652810 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 9995652810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16478017920).

9995652810 is an abundant number, since it is smaller than the sum of its proper divisors (22960383030).

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

9995652810 is a wasteful number, since it uses less digits than its factorization.

9995652810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1091 counting only the distinct ones).

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

The square root of 9995652810 is about 99978.2616872288. The cubic root of 9995652810 is about 2154.1224535511.

The spelling of 9995652810 in words is "nine billion, nine hundred ninety-five million, six hundred fifty-two thousand, eight hundred ten".