21089742680160 has 3456 divisors, whose sum is σ = 98308105878528. Its totient is φ = 4061933568000.

The previous prime is 21089742680159. The next prime is 21089742680173. The reversal of 21089742680160 is 6108624798012.

It is a happy number.

21089742680160 is a `hidden beast` number, since 2 + 1 + 0 + 89 + 7 + 426 + 80 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21089742680097 and 21089742680106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 116517915270 + ... + 116517915450.

It is an arithmetic number, because the mean of its divisors is an integer number (28445632488).

Almost surely, 2^{21089742680160} is an apocalyptic number.

21089742680160 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 21089742680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49154052939264).

21089742680160 is an abundant number, since it is smaller than the sum of its proper divisors (77218363198368).

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

21089742680160 is a wasteful number, since it uses less digits than its factorization.

21089742680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 21089742680160 in words is "twenty-one trillion, eighty-nine billion, seven hundred forty-two million, six hundred eighty thousand, one hundred sixty".