21201405661359 has 640 divisors, whose sum is σ = 43520710041600. Its totient is φ = 10081895040000.

The previous prime is 21201405661343. The next prime is 21201405661363. The reversal of 21201405661359 is 95316650410212.

It is a happy number.

21201405661359 is a `hidden beast` number, since 2 + 1 + 20 + 1 + 4 + 0 + 5 + 6 + 613 + 5 + 9 = 666.

It is not a de Polignac number, because 21201405661359 - 2⁴ = 21201405661343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201405661459) 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 639 ways as a sum of consecutive naturals, for example, 87972637479 + ... + 87972637719.

It is an arithmetic number, because the mean of its divisors is an integer number (68001109440).

Almost surely, 2^{21201405661359} is an apocalyptic number.

21201405661359 is an abundant number, since it is smaller than the sum of its proper divisors (22319304380241).

21201405661359 is a wasteful number, since it uses less digits than its factorization.

21201405661359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 21201405661359 in words is "twenty-one trillion, two hundred one billion, four hundred five million, six hundred sixty-one thousand, three hundred fifty-nine".