20201250196224 has 288 divisors, whose sum is σ = 63493290685440. Its totient is φ = 6313539944448.

The previous prime is 20201250196217. The next prime is 20201250196243. The reversal of 20201250196224 is 42269105210202.

20201250196224 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 25 + 0 + 1 + 9 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30576709 + ... + 31230395.

It is an arithmetic number, because the mean of its divisors is an integer number (220462814880).

Almost surely, 2^{20201250196224} is an apocalyptic number.

20201250196224 is a gapful number since it is divisible by the number (24) 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 20201250196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31746645342720).

20201250196224 is an abundant number, since it is smaller than the sum of its proper divisors (43292040489216).

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

20201250196224 is a wasteful number, since it uses less digits than its factorization.

20201250196224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653992 (or 653972 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20201250196224 in words is "twenty trillion, two hundred one billion, two hundred fifty million, one hundred ninety-six thousand, two hundred twenty-four".