199478080512 has 440 divisors, whose sum is σ = 634853484936. Its totient is φ = 62172168192.

The previous prime is 199478080499. The next prime is 199478080523. The reversal of 199478080512 is 215080874991.

It is a happy number.

199478080512 is a `hidden beast` number, since 1 + 9 + 9 + 47 + 8 + 0 + 80 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87483442176 + 111994638336 = 295776^2 + 334656^2 .

It is a super-3 number, since 3×199478080512³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 272138898 + ... + 272139630.

Almost surely, 2^199478080512 is an apocalyptic number.

199478080512 is a gapful number since it is divisible by the number (12) 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 199478080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317426742468).

199478080512 is an abundant number, since it is smaller than the sum of its proper divisors (435375404424).

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

199478080512 is a wasteful number, since it uses less digits than its factorization.

199478080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 199478080512 in words is "one hundred ninety-nine billion, four hundred seventy-eight million, eighty thousand, five hundred twelve".