199568940480 has 2352 divisors, whose sum is σ = 957062977920. Its totient is φ = 39128334336.

The previous prime is 199568940469. The next prime is 199568940491. The reversal of 199568940480 is 84049865991.

199568940480 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 68 + 94 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (199568940469) and next prime (199568940491).

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2526189081 + ... + 2526189159.

Almost surely, 2^199568940480 is an apocalyptic number.

199568940480 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 199568940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531488960).

199568940480 is an abundant number, since it is smaller than the sum of its proper divisors (757494037440).

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

199568940480 is a wasteful number, since it uses less digits than its factorization.

199568940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 199568940480 in words is "one hundred ninety-nine billion, five hundred sixty-eight million, nine hundred forty thousand, four hundred eighty".