21601105359687 has 96 divisors (see below), whose sum is σ = 35964389760000. Its totient is φ = 12238297413120.

The previous prime is 21601105359563. The next prime is 21601105359707. The reversal of 21601105359687 is 78695350110612.

21601105359687 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 1 + 10 + 535 + 96 + 8 + 7 = 666.

It is not a de Polignac number, because 21601105359687 - 2¹⁶ = 21601105294151 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21601105359187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7084650939 + ... + 7084653987.

It is an arithmetic number, because the mean of its divisors is an integer number (374629060000).

Almost surely, 2^{21601105359687} is an apocalyptic number.

21601105359687 is a deficient number, since it is larger than the sum of its proper divisors (14363284400313).

21601105359687 is a wasteful number, since it uses less digits than its factorization.

21601105359687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5181 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 21601105359687 in words is "twenty-one trillion, six hundred one billion, one hundred five million, three hundred fifty-nine thousand, six hundred eighty-seven".