20892645582336 has 480 divisors, whose sum is σ = 66442343194656. Its totient is φ = 6319698739200.

The previous prime is 20892645582329. The next prime is 20892645582373. The reversal of 20892645582336 is 63328554629802.

20892645582336 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 2 + 6 + 45 + 582 + 3 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3784211256 + ... + 3784216776.

Almost surely, 2^{20892645582336} 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 20892645582336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33221171597328).

20892645582336 is an abundant number, since it is smaller than the sum of its proper divisors (45549697612320).

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

20892645582336 is an equidigital number, since it uses as much as digits as its factorization.

20892645582336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 20892645582336 in words is "twenty trillion, eight hundred ninety-two billion, six hundred forty-five million, five hundred eighty-two thousand, three hundred thirty-six".