199528285440 has 288 divisors, whose sum is σ = 697725254016. Its totient is φ = 48193044480.

The previous prime is 199528285391. The next prime is 199528285441. The reversal of 199528285440 is 44582825991.

It is a super-2 number, since 2×199528285440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199528285441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11691954 + ... + 11709006.

It is an arithmetic number, because the mean of its divisors is an integer number (2422657132).

Almost surely, 2^199528285440 is an apocalyptic number.

199528285440 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 199528285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348862627008).

199528285440 is an abundant number, since it is smaller than the sum of its proper divisors (498196968576).

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

199528285440 is a wasteful number, since it uses less digits than its factorization.

199528285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17365 (or 17351 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 199528285440 in words is "one hundred ninety-nine billion, five hundred twenty-eight million, two hundred eighty-five thousand, four hundred forty".