21628585426752 has 168 divisors, whose sum is σ = 68094574666560. Its totient is φ = 6533119549440.

The previous prime is 21628585426751. The next prime is 21628585426783. The reversal of 21628585426752 is 25762458582612.

21628585426752 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 8 + 585 + 42 + 6 + 7 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21628585426752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21628585426751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42711249 + ... + 43214672.

Almost surely, 2^{21628585426752} is an apocalyptic number.

It is an amenable number.

21628585426752 is an abundant number, since it is smaller than the sum of its proper divisors (46465989239808).

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

21628585426752 is a wasteful number, since it uses less digits than its factorization.

21628585426752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85925981 (or 85925968 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 21628585426752 in words is "twenty-one trillion, six hundred twenty-eight billion, five hundred eighty-five million, four hundred twenty-six thousand, seven hundred fifty-two".