20892740064768 has 2880 divisors, whose sum is σ = 80533589520384. Its totient is φ = 5321023488000.

The previous prime is 20892740064767. The next prime is 20892740064797. The reversal of 20892740064768 is 86746004729802.

20892740064768 is a `hidden beast` number, since 2 + 0 + 8 + 92 + 74 + 0 + 0 + 6 + 476 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20892740064761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 342503935458 + ... + 342503935518.

Almost surely, 2^{20892740064768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20892740064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40266794760192).

20892740064768 is an abundant number, since it is smaller than the sum of its proper divisors (59640849455616).

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

20892740064768 is an equidigital number, since it uses as much as digits as its factorization.

20892740064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 20892740064768 in words is "twenty trillion, eight hundred ninety-two billion, seven hundred forty million, sixty-four thousand, seven hundred sixty-eight".