199718326149120 has 672 divisors, whose sum is σ = 720002423230272. Its totient is φ = 53106412879872.

The previous prime is 199718326149119. The next prime is 199718326149203. The reversal of 199718326149120 is 21941623817991.

199718326149120 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 1 + 8 + 3 + 2 + 614 + 9 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513479419 + ... + 3513536261.

It is an arithmetic number, because the mean of its divisors is an integer number (1071432177426).

Almost surely, 2^{199718326149120} is an apocalyptic number.

199718326149120 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 199718326149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360001211615136).

199718326149120 is an abundant number, since it is smaller than the sum of its proper divisors (520284097081152).

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

199718326149120 is an frugal number, since it uses more digits than its factorization.

199718326149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57242 (or 57206 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 199718326149120 in words is "one hundred ninety-nine trillion, seven hundred eighteen billion, three hundred twenty-six million, one hundred forty-nine thousand, one hundred twenty".