199702299310272 has 1120 divisors, whose sum is σ = 677891149867008. Its totient is φ = 57541017600000.

The previous prime is 199702299310247. The next prime is 199702299310289. The reversal of 199702299310272 is 272013992207991.

199702299310272 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 0 + 2 + 299 + 310 + 27 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 226676843272 + ... + 226676844152.

Almost surely, 2^{199702299310272} is an apocalyptic number.

199702299310272 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 199702299310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338945574933504).

199702299310272 is an abundant number, since it is smaller than the sum of its proper divisors (478188850556736).

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

199702299310272 is a wasteful number, since it uses less digits than its factorization.

199702299310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 199702299310272 in words is "one hundred ninety-nine trillion, seven hundred two billion, two hundred ninety-nine million, three hundred ten thousand, two hundred seventy-two".