199990180864872 has 512 divisors, whose sum is σ = 596840348160000. Its totient is φ = 61865933635584.

The previous prime is 199990180864819. The next prime is 199990180864889. The reversal of 199990180864872 is 278468081099991.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 199990180864791 and 199990180864800.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20577233629 + ... + 20577243347.

It is an arithmetic number, because the mean of its divisors is an integer number (1165703805000).

Almost surely, 2^{199990180864872} is an apocalyptic number.

199990180864872 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 199990180864872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298420174080000).

199990180864872 is an abundant number, since it is smaller than the sum of its proper divisors (396850167295128).

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

199990180864872 is a wasteful number, since it uses less digits than its factorization.

199990180864872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 81.

The spelling of 199990180864872 in words is "one hundred ninety-nine trillion, nine hundred ninety billion, one hundred eighty million, eight hundred sixty-four thousand, eight hundred seventy-two".