11650216877310 has 192 divisors, whose sum is σ = 30803159955456. Its totient is φ = 2817898786560.

The previous prime is 11650216877297. The next prime is 11650216877333. The reversal of 11650216877310 is 1377861205611.

It is a super-2 number, since 2×11650216877310² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11650216877310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5207963512 + ... + 5207965748.

It is an arithmetic number, because the mean of its divisors is an integer number (160433124768).

Almost surely, 2^{11650216877310} is an apocalyptic number.

11650216877310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11650216877310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15401579977728).

11650216877310 is an abundant number, since it is smaller than the sum of its proper divisors (19152943078146).

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

11650216877310 is a wasteful number, since it uses less digits than its factorization.

11650216877310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 11650216877310 in words is "eleven trillion, six hundred fifty billion, two hundred sixteen million, eight hundred seventy-seven thousand, three hundred ten".