199977528200 has 108 divisors (see below), whose sum is σ = 471039950565. Its totient is φ = 78956372160.

The previous prime is 199977528133. The next prime is 199977528241. The reversal of 199977528200 is 2825779991.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 195977977636 + 3999550564 = 442694^2 + 63242^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=316210.

It is a self number, because there is not a number n which added to its sum of digits gives 199977528200.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 651392447 + ... + 651392753.

Almost surely, 2^199977528200 is an apocalyptic number.

199977528200 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 199977528200

199977528200 is an abundant number, since it is smaller than the sum of its proper divisors (271062422365).

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

199977528200 is an equidigital number, since it uses as much as digits as its factorization.

199977528200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 59.

The spelling of 199977528200 in words is "one hundred ninety-nine billion, nine hundred seventy-seven million, five hundred twenty-eight thousand, two hundred".