198852088276800 has 3360 divisors, whose sum is σ = 888375268915200. Its totient is φ = 43562321510400.

The previous prime is 198852088276799. The next prime is 198852088276873. The reversal of 198852088276800 is 8672880258891.

198852088276800 is a `hidden beast` number, since 1 + 98 + 8 + 520 + 8 + 8 + 2 + 7 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 155718157762 + ... + 155718159038.

Almost surely, 2^{198852088276800} is an apocalyptic number.

198852088276800 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 198852088276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444187634457600).

198852088276800 is an abundant number, since it is smaller than the sum of its proper divisors (689523180638400).

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

198852088276800 is a wasteful number, since it uses less digits than its factorization.

198852088276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 198852088276800 in words is "one hundred ninety-eight trillion, eight hundred fifty-two billion, eighty-eight million, two hundred seventy-six thousand, eight hundred".