199765016985600 has 4320 divisors, whose sum is σ = 868520214620800. Its totient is φ = 45406067097600.

The previous prime is 199765016985577. The next prime is 199765016985631. The reversal of 199765016985600 is 6589610567991.

199765016985600 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 6 + 5 + 0 + 1 + 6 + 9 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×199765016985600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2059433164752 + ... + 2059433164848.

Almost surely, 2^{199765016985600} is an apocalyptic number.

199765016985600 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 199765016985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434260107310400).

199765016985600 is an abundant number, since it is smaller than the sum of its proper divisors (668755197635200).

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

199765016985600 is an frugal number, since it uses more digits than its factorization.

199765016985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 199765016985600 in words is "one hundred ninety-nine trillion, seven hundred sixty-five billion, sixteen million, nine hundred eighty-five thousand, six hundred".