20215768596480 has 960 divisors, whose sum is σ = 74171171491200. Its totient is φ = 5286672728064.

The previous prime is 20215768596403. The next prime is 20215768596481. The reversal of 20215768596480 is 8469586751202.

20215768596480 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 5 + 7 + 68 + 5 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (20215768596481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9495428056 + ... + 9495430184.

It is an arithmetic number, because the mean of its divisors is an integer number (77261636970).

Almost surely, 2^{20215768596480} is an apocalyptic number.

20215768596480 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 20215768596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37085585745600).

20215768596480 is an abundant number, since it is smaller than the sum of its proper divisors (53955402894720).

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

20215768596480 is an frugal number, since it uses more digits than its factorization.

20215768596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 20215768596480 in words is "twenty trillion, two hundred fifteen billion, seven hundred sixty-eight million, five hundred ninety-six thousand, four hundred eighty".