199388407680000 has 6600 divisors, whose sum is σ = 987954883238400. Its totient is φ = 39086530560000.

The previous prime is 199388407679987. The next prime is 199388407680031. The reversal of 199388407680000 is 86704883991.

199388407680000 is a `hidden beast` number, since 1 + 9 + 93 + 88 + 407 + 68 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6600).

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

It is a self number, because there is not a number n which added to its sum of digits gives 199388407680000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 834261119881 + ... + 834261120119.

It is an arithmetic number, because the mean of its divisors is an integer number (149690133824).

Almost surely, 2^{199388407680000} is an apocalyptic number.

199388407680000 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 199388407680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493977441619200).

199388407680000 is an abundant number, since it is smaller than the sum of its proper divisors (788566475558400).

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

199388407680000 is a wasteful number, since it uses less digits than its factorization.

199388407680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 199388407680000 in words is "one hundred ninety-nine trillion, three hundred eighty-eight billion, four hundred seven million, six hundred eighty thousand".