199820001960 has 48 divisors (see below), whose sum is σ = 649415007540. Its totient is φ = 53285333760.

The previous prime is 199820001959. The next prime is 199820002021. The reversal of 199820001960 is 69100028991.

199820001960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 194264088516 + 5555913444 = 440754^2 + 74538^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277527421 + ... + 277528140.

Almost surely, 2^199820001960 is an apocalyptic number.

199820001960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199820001960 is an abundant number, since it is smaller than the sum of its proper divisors (449595005580).

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

199820001960 is a wasteful number, since it uses less digits than its factorization.

199820001960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555055578 (or 555055571 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 199820001960 in words is "one hundred ninety-nine billion, eight hundred twenty million, one thousand, nine hundred sixty".