20896242721200 has 720 divisors, whose sum is σ = 93757792617216. Its totient is φ = 4342074854400.

The previous prime is 20896242721181. The next prime is 20896242721231. The reversal of 20896242721200 is 212724269802.

20896242721200 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 6 + 2 + 427 + 212 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6088414 + ... + 8880386.

Almost surely, 2^{20896242721200} is an apocalyptic number.

20896242721200 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 20896242721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46878896308608).

20896242721200 is an abundant number, since it is smaller than the sum of its proper divisors (72861549896016).

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

20896242721200 is a wasteful number, since it uses less digits than its factorization.

20896242721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792024 (or 2792001 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20896242721200 in words is "twenty trillion, eight hundred ninety-six billion, two hundred forty-two million, seven hundred twenty-one thousand, two hundred".