199857528612 has 216 divisors, whose sum is σ = 602572291776. Its totient is φ = 54706320000.

The previous prime is 199857528571. The next prime is 199857528613. The reversal of 199857528612 is 216825758991.

199857528612 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 5 + 7 + 5 + 2 + 8 + 612 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199857528612.

It is not an unprimeable number, because it can be changed into a prime (199857528613) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24455287 + ... + 24463457.

It is an arithmetic number, because the mean of its divisors is an integer number (2789686536).

Almost surely, 2^199857528612 is an apocalyptic number.

199857528612 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 199857528612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301286145888).

199857528612 is an abundant number, since it is smaller than the sum of its proper divisors (402714763164).

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

199857528612 is a wasteful number, since it uses less digits than its factorization.

199857528612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351 (or 8315 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 199857528612 in words is "one hundred ninety-nine billion, eight hundred fifty-seven million, five hundred twenty-eight thousand, six hundred twelve".