199789140096000 has 8448 divisors, whose sum is σ = 989824643039232. Its totient is φ = 37604818944000.

The previous prime is 199789140095989. The next prime is 199789140096053. The reversal of 199789140096000 is 690041987991.

199789140096000 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 8 + 9 + 14 + 0 + 0 + 9 + 600 + 0 = 666.

It is a super-2 number, since 2×199789140096000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4250832767977 + ... + 4250832768023.

It is an arithmetic number, because the mean of its divisors is an integer number (117166742784).

Almost surely, 2^{199789140096000} is an apocalyptic number.

199789140096000 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 199789140096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494912321519616).

199789140096000 is an abundant number, since it is smaller than the sum of its proper divisors (790035502943232).

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

199789140096000 is a wasteful number, since it uses less digits than its factorization.

199789140096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 199789140096000 in words is "one hundred ninety-nine trillion, seven hundred eighty-nine billion, one hundred forty million, ninety-six thousand".