199506458084640 has 1536 divisors, whose sum is σ = 770446768766976. Its totient is φ = 42449491722240.

The previous prime is 199506458084581. The next prime is 199506458084651. The reversal of 199506458084640 is 46480854605991.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 47042312920 + ... + 47042317160.

It is an arithmetic number, because the mean of its divisors is an integer number (501592948416).

Almost surely, 2^{199506458084640} is an apocalyptic number.

199506458084640 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 199506458084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385223384383488).

199506458084640 is an abundant number, since it is smaller than the sum of its proper divisors (570940310682336).

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

199506458084640 is a wasteful number, since it uses less digits than its factorization.

199506458084640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 69.

The spelling of 199506458084640 in words is "one hundred ninety-nine trillion, five hundred six billion, four hundred fifty-eight million, eighty-four thousand, six hundred forty".