199861672320 has 768 divisors, whose sum is σ = 776787609600. Its totient is φ = 48505651200.

The previous prime is 199861672313. The next prime is 199861672349. The reversal of 199861672320 is 23276168991.

199861672320 is a `hidden beast` number, since 19 + 9 + 8 + 616 + 7 + 2 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154810875 + ... + 154812165.

It is an arithmetic number, because the mean of its divisors is an integer number (1011442200).

Almost surely, 2^199861672320 is an apocalyptic number.

199861672320 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 199861672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388393804800).

199861672320 is an abundant number, since it is smaller than the sum of its proper divisors (576925937280).

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

199861672320 is a wasteful number, since it uses less digits than its factorization.

199861672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 199861672320 in words is "one hundred ninety-nine billion, eight hundred sixty-one million, six hundred seventy-two thousand, three hundred twenty".