198029199535272 has 192 divisors, whose sum is σ = 613248793896960. Its totient is φ = 56551969152000.

The previous prime is 198029199535249. The next prime is 198029199535289. The reversal of 198029199535272 is 272535991920891.

198029199535272 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 2 + 9 + 1 + 9 + 95 + 3 + 527 + 2 = 666.

It is a super-2 number, since 2×198029199535272² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198029199535272.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13113640522 + ... + 13113655622.

It is an arithmetic number, because the mean of its divisors is an integer number (3194004134880).

Almost surely, 2^{198029199535272} is an apocalyptic number.

198029199535272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198029199535272 is an abundant number, since it is smaller than the sum of its proper divisors (415219594361688).

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

198029199535272 is a wasteful number, since it uses less digits than its factorization.

198029199535272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26184 (or 26177 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 198029199535272 in words is "one hundred ninety-eight trillion, twenty-nine billion, one hundred ninety-nine million, five hundred thirty-five thousand, two hundred seventy-two".