199161899370000 has 1200 divisors, whose sum is σ = 851631307246720. Its totient is φ = 42419635200000.

The previous prime is 199161899369971. The next prime is 199161899370011. The reversal of 199161899370000 is 73998161991.

199161899370000 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 618 + 9 + 9 + 3 + 7 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 199161899370000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 730033620 + ... + 730306380.

Almost surely, 2^{199161899370000} is an apocalyptic number.

199161899370000 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 199161899370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425815653623360).

199161899370000 is an abundant number, since it is smaller than the sum of its proper divisors (652469407876720).

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

199161899370000 is a wasteful number, since it uses less digits than its factorization.

199161899370000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272882 (or 272858 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 63.

The spelling of 199161899370000 in words is "one hundred ninety-nine trillion, one hundred sixty-one billion, eight hundred ninety-nine million, three hundred seventy thousand".