21753564379201 has 8 divisors (see below), whose sum is σ = 21993326875520. Its totient is φ = 21514351168512.

The previous prime is 21753564379181. The next prime is 21753564379213. The reversal of 21753564379201 is 10297346535712.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21753564379201 - 2¹³ = 21753564371009 is a prime.

It is a super-3 number, since 3×21753564379201³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21753564379601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137241765 + ... + 137400178.

It is an arithmetic number, because the mean of its divisors is an integer number (2749165859440).

Almost surely, 2^{21753564379201} is an apocalyptic number.

It is an amenable number.

21753564379201 is a deficient number, since it is larger than the sum of its proper divisors (239762496319).

21753564379201 is a wasteful number, since it uses less digits than its factorization.

21753564379201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274642815.

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 21753564379201 in words is "twenty-one trillion, seven hundred fifty-three billion, five hundred sixty-four million, three hundred seventy-nine thousand, two hundred one".