20763852894720 has 2880 divisors, whose sum is σ = 85791444710400. Its totient is φ = 4622940241920.

The previous prime is 20763852894677. The next prime is 20763852894731. The reversal of 20763852894720 is 2749825836702.

20763852894720 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 3 + 85 + 2 + 89 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×20763852894720² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 292448632285 + ... + 292448632355.

It is an arithmetic number, because the mean of its divisors is an integer number (29788696080).

Almost surely, 2^{20763852894720} is an apocalyptic number.

20763852894720 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 20763852894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42895722355200).

20763852894720 is an abundant number, since it is smaller than the sum of its proper divisors (65027591815680).

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

20763852894720 is a wasteful number, since it uses less digits than its factorization.

20763852894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 20763852894720 in words is "twenty trillion, seven hundred sixty-three billion, eight hundred fifty-two million, eight hundred ninety-four thousand, seven hundred twenty".