199528120800 has 288 divisors, whose sum is σ = 733461492960. Its totient is φ = 52334899200.

The previous prime is 199528120789. The next prime is 199528120819. The reversal of 199528120800 is 8021825991.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×199528120800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241884 + ... + 1393316.

It is an arithmetic number, because the mean of its divisors is an integer number (2546741295).

Almost surely, 2^199528120800 is an apocalyptic number.

199528120800 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 199528120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366730746480).

199528120800 is an abundant number, since it is smaller than the sum of its proper divisors (533933372160).

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

199528120800 is a wasteful number, since it uses less digits than its factorization.

199528120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151523 (or 151504 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 199528120800 in words is "one hundred ninety-nine billion, five hundred twenty-eight million, one hundred twenty thousand, eight hundred".