199753024425120 has 576 divisors, whose sum is σ = 758884720898304. Its totient is φ = 47588267950080.

The previous prime is 199753024425113. The next prime is 199753024425121. The reversal of 199753024425120 is 21524420357991.

199753024425120 is a `hidden beast` number, since 1 + 9 + 9 + 75 + 3 + 0 + 2 + 442 + 5 + 120 = 666.

It is not an unprimeable number, because it can be changed into a prime (199753024425121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72404134 + ... + 75112346.

It is an arithmetic number, because the mean of its divisors is an integer number (1317508196004).

Almost surely, 2^{199753024425120} is an apocalyptic number.

199753024425120 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 199753024425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379442360449152).

199753024425120 is an abundant number, since it is smaller than the sum of its proper divisors (559131696473184).

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

199753024425120 is a wasteful number, since it uses less digits than its factorization.

199753024425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708405 (or 2708394 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 199753024425120 in words is "one hundred ninety-nine trillion, seven hundred fifty-three billion, twenty-four million, four hundred twenty-five thousand, one hundred twenty".