199729899490128 has 320 divisors, whose sum is σ = 601191632701440. Its totient is φ = 55962669312000.

The previous prime is 199729899490087. The next prime is 199729899490141. The reversal of 199729899490128 is 821094998927991.

It is a super-2 number, since 2×199729899490128² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12913285051 + ... + 12913300517.

It is an arithmetic number, because the mean of its divisors is an integer number (1878723852192).

Almost surely, 2^{199729899490128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199729899490128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300595816350720).

199729899490128 is an abundant number, since it is smaller than the sum of its proper divisors (401461733211312).

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

199729899490128 is a wasteful number, since it uses less digits than its factorization.

199729899490128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19186 (or 19180 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 87.

The spelling of 199729899490128 in words is "one hundred ninety-nine trillion, seven hundred twenty-nine billion, eight hundred ninety-nine million, four hundred ninety thousand, one hundred twenty-eight".