199650432960 has 672 divisors, whose sum is σ = 784920374784. Its totient is φ = 47900160000.

The previous prime is 199650432941. The next prime is 199650432973. The reversal of 199650432960 is 69234056991.

199650432960 is a `hidden beast` number, since 1 + 99 + 65 + 0 + 432 + 9 + 60 = 666.

It is a super-2 number, since 2×199650432960² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 199650432897 and 199650432906.

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, 86390205 + ... + 86392515.

It is an arithmetic number, because the mean of its divisors is an integer number (1168036272).

Almost surely, 2^199650432960 is an apocalyptic number.

199650432960 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 199650432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392460187392).

199650432960 is an abundant number, since it is smaller than the sum of its proper divisors (585269941824).

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

199650432960 is a wasteful number, since it uses less digits than its factorization.

199650432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 199650432960 in words is "one hundred ninety-nine billion, six hundred fifty million, four hundred thirty-two thousand, nine hundred sixty".