21896320686912 has 2016 divisors, whose sum is σ = 83666392992000. Its totient is φ = 5634814574592.

The previous prime is 21896320686871. The next prime is 21896320686917. The reversal of 21896320686912 is 21968602369812.

21896320686912 is a `hidden beast` number, since 2 + 189 + 6 + 320 + 68 + 69 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 21896320686912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21896320686917) 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, 62740173714 + ... + 62740174062.

It is an arithmetic number, because the mean of its divisors is an integer number (41501187000).

Almost surely, 2^{21896320686912} 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 21896320686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41833196496000).

21896320686912 is an abundant number, since it is smaller than the sum of its proper divisors (61770072305088).

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

21896320686912 is a wasteful number, since it uses less digits than its factorization.

21896320686912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 21896320686912 in words is "twenty-one trillion, eight hundred ninety-six billion, three hundred twenty million, six hundred eighty-six thousand, nine hundred twelve".