199865847669220 has 96 divisors (see below), whose sum is σ = 430432676305632. Its totient is φ = 77909852160000.

The previous prime is 199865847669211. The next prime is 199865847669227. The reversal of 199865847669220 is 22966748568991.

It can be written as a sum of positive squares in 16 ways, for example, as 138078104440896 + 61787743228324 = 11750664^2 + 7860518^2 .

It is a Harshad number since it is a multiple of its sum of digits (82).

It is not an unprimeable number, because it can be changed into a prime (199865847669227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11253065140 + ... + 11253082900.

It is an arithmetic number, because the mean of its divisors is an integer number (4483673711517).

Almost surely, 2^{199865847669220} is an apocalyptic number.

199865847669220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199865847669220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215216338152816).

199865847669220 is an abundant number, since it is smaller than the sum of its proper divisors (230566828636412).

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

199865847669220 is a wasteful number, since it uses less digits than its factorization.

199865847669220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32273 (or 32271 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 82.

The spelling of 199865847669220 in words is "one hundred ninety-nine trillion, eight hundred sixty-five billion, eight hundred forty-seven million, six hundred sixty-nine thousand, two hundred twenty".