20286288691200 has 1920 divisors, whose sum is σ = 89872104960000. Its totient is φ = 4382628249600.

The previous prime is 20286288691189. The next prime is 20286288691213. The reversal of 20286288691200 is 219688268202.

It is a happy number.

20286288691200 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 628 + 8 + 6 + 9 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47067954985 + ... + 47067955415.

It is an arithmetic number, because the mean of its divisors is an integer number (46808388000).

Almost surely, 2^{20286288691200} is an apocalyptic number.

20286288691200 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 20286288691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44936052480000).

20286288691200 is an abundant number, since it is smaller than the sum of its proper divisors (69585816268800).

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

20286288691200 is an frugal number, since it uses more digits than its factorization.

20286288691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 20286288691200 in words is "twenty trillion, two hundred eighty-six billion, two hundred eighty-eight million, six hundred ninety-one thousand, two hundred".