21858256725312 has 224 divisors, whose sum is σ = 68979446496000. Its totient is φ = 5976501092352.

The previous prime is 21858256725281. The next prime is 21858256725313. The reversal of 21858256725312 is 21352765285812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21858256725313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922814 + ... + 6885762.

Almost surely, 2^{21858256725312} 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 21858256725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34489723248000).

21858256725312 is an abundant number, since it is smaller than the sum of its proper divisors (47121189770688).

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

21858256725312 is a wasteful number, since it uses less digits than its factorization.

21858256725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963113 (or 4963103 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 57.

The spelling of 21858256725312 in words is "twenty-one trillion, eight hundred fifty-eight billion, two hundred fifty-six million, seven hundred twenty-five thousand, three hundred twelve".