21402785564384 has 192 divisors, whose sum is σ = 48876282524160. Its totient is φ = 9036527339520.

The previous prime is 21402785564339. The next prime is 21402785564393. The reversal of 21402785564384 is 48346558720412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6130844879 + ... + 6130848369.

It is an arithmetic number, because the mean of its divisors is an integer number (254563971480).

Almost surely, 2^{21402785564384} 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 21402785564384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24438141262080).

21402785564384 is an abundant number, since it is smaller than the sum of its proper divisors (27473496959776).

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

21402785564384 is a wasteful number, since it uses less digits than its factorization.

21402785564384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 59.

The spelling of 21402785564384 in words is "twenty-one trillion, four hundred two billion, seven hundred eighty-five million, five hundred sixty-four thousand, three hundred eighty-four".