21585723073353 has 40 divisors (see below), whose sum is σ = 32717733048000. Its totient is φ = 14180553207072.

The previous prime is 21585723073319. The next prime is 21585723073367. The reversal of 21585723073353 is 35337032758512.

21585723073353 is a `hidden beast` number, since 2 + 1 + 5 + 8 + 57 + 230 + 7 + 3 + 353 = 666.

It is not a de Polignac number, because 21585723073353 - 2⁸ = 21585723073097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21585723073353.

It is not an unprimeable number, because it can be changed into a prime (21585723073303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1511653 + ... + 6742146.

It is an arithmetic number, because the mean of its divisors is an integer number (817943326200).

Almost surely, 2^{21585723073353} is an apocalyptic number.

It is an amenable number.

21585723073353 is a deficient number, since it is larger than the sum of its proper divisors (11132009974647).

21585723073353 is an equidigital number, since it uses as much as digits as its factorization.

21585723073353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254283 (or 8254274 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 21585723073353 in words is "twenty-one trillion, five hundred eighty-five billion, seven hundred twenty-three million, seventy-three thousand, three hundred fifty-three".