20198000361600 has 576 divisors, whose sum is σ = 72904615056000. Its totient is φ = 5324018688000.

The previous prime is 20198000361569. The next prime is 20198000361629. The reversal of 20198000361600 is 616300089102.

20198000361600 is a `hidden beast` number, since 2 + 0 + 19 + 8 + 0 + 0 + 0 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1870353001 + ... + 1870363799.

It is an arithmetic number, because the mean of its divisors is an integer number (126570512250).

Almost surely, 2^{20198000361600} is an apocalyptic number.

20198000361600 is a gapful number since it is divisible by the number (20) 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 20198000361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36452307528000).

20198000361600 is an abundant number, since it is smaller than the sum of its proper divisors (52706614694400).

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

20198000361600 is a wasteful number, since it uses less digits than its factorization.

20198000361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11573 (or 11553 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20198000361600 in words is "twenty trillion, one hundred ninety-eight billion, three hundred sixty-one thousand, six hundred".