21045756340224 has 2304 divisors, whose sum is σ = 83471062671360. Its totient is φ = 4942347632640.

The previous prime is 21045756340199. The next prime is 21045756340247. The reversal of 21045756340224 is 42204365754012.

21045756340224 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 5 + 7 + 5 + 634 + 0 + 2 + 2 + 4 = 666.

21045756340224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a self number, because there is not a number n which added to its sum of digits gives 21045756340224.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75977459574 + ... + 75977459850.

It is an arithmetic number, because the mean of its divisors is an integer number (36228759840).

Almost surely, 2^{21045756340224} is an apocalyptic number.

21045756340224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21045756340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41735531335680).

21045756340224 is an abundant number, since it is smaller than the sum of its proper divisors (62425306331136).

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

21045756340224 is a wasteful number, since it uses less digits than its factorization.

21045756340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 21045756340224 in words is "twenty-one trillion, forty-five billion, seven hundred fifty-six million, three hundred forty thousand, two hundred twenty-four".