199200723552 has 864 divisors, whose sum is σ = 677679125760. Its totient is φ = 57274905600.

The previous prime is 199200723541. The next prime is 199200723559. The reversal of 199200723552 is 255327002991.

199200723552 is a `hidden beast` number, since 1 + 9 + 9 + 20 + 0 + 72 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a junction number, because it is equal to n+sod(n) for n = 199200723498 and 199200723507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199200723559) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3265585602 + ... + 3265585662.

It is an arithmetic number, because the mean of its divisors is an integer number (784350840).

Almost surely, 2^199200723552 is an apocalyptic number.

199200723552 is a gapful number since it is divisible by the number (12) 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 199200723552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338839562880).

199200723552 is an abundant number, since it is smaller than the sum of its proper divisors (478478402208).

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

199200723552 is a wasteful number, since it uses less digits than its factorization.

199200723552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 199200723552 in words is "one hundred ninety-nine billion, two hundred million, seven hundred twenty-three thousand, five hundred fifty-two".