199380631680 has 320 divisors, whose sum is σ = 734998682880. Its totient is φ = 51452651520.

The previous prime is 199380631673. The next prime is 199380631693. The reversal of 199380631680 is 86136083991.

199380631680 is a `hidden beast` number, since 199 + 380 + 63 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1545007 + ... + 1669073.

It is an arithmetic number, because the mean of its divisors is an integer number (2296870884).

Almost surely, 2^199380631680 is an apocalyptic number.

199380631680 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 199380631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367499341440).

199380631680 is an abundant number, since it is smaller than the sum of its proper divisors (535618051200).

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

199380631680 is a wasteful number, since it uses less digits than its factorization.

199380631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124129 (or 124108 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 199380631680 in words is "one hundred ninety-nine billion, three hundred eighty million, six hundred thirty-one thousand, six hundred eighty".