21424150257664 has 224 divisors, whose sum is σ = 53436365568000. Its totient is φ = 8344201789440.

The previous prime is 21424150257661. The next prime is 21424150257689. The reversal of 21424150257664 is 46675205142412.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (21424150257661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3456062437 + ... + 3456068635.

Almost surely, 2^{21424150257664} 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 21424150257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26718182784000).

21424150257664 is an abundant number, since it is smaller than the sum of its proper divisors (32012215310336).

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

21424150257664 is an equidigital number, since it uses as much as digits as its factorization.

21424150257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11698 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 21424150257664 in words is "twenty-one trillion, four hundred twenty-four billion, one hundred fifty million, two hundred fifty-seven thousand, six hundred sixty-four".