199297885752 has 768 divisors, whose sum is σ = 705384576000. Its totient is φ = 50916999168.

The previous prime is 199297885711. The next prime is 199297885777. The reversal of 199297885752 is 257588792991.

199297885752 is a `hidden beast` number, since 199 + 297 + 8 + 85 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1763698048 + ... + 1763698160.

It is an arithmetic number, because the mean of its divisors is an integer number (918469500).

Almost surely, 2^199297885752 is an apocalyptic number.

199297885752 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 199297885752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352692288000).

199297885752 is an abundant number, since it is smaller than the sum of its proper divisors (506086690248).

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

199297885752 is a wasteful number, since it uses less digits than its factorization.

199297885752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 246 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 72.

The spelling of 199297885752 in words is "one hundred ninety-nine billion, two hundred ninety-seven million, eight hundred eighty-five thousand, seven hundred fifty-two".