21705001161160 has 32 divisors (see below), whose sum is σ = 49040588419200. Its totient is φ = 8645674098880.

The previous prime is 21705001161119. The next prime is 21705001161161. The reversal of 21705001161160 is 6116110050712.

It is a super-2 number, since 2×21705001161160² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21705001161161) 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 7 ways as a sum of consecutive naturals, for example, 1135189246 + ... + 1135208365.

It is an arithmetic number, because the mean of its divisors is an integer number (1532518388100).

Almost surely, 2^{21705001161160} is an apocalyptic number.

21705001161160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21705001161160 is an abundant number, since it is smaller than the sum of its proper divisors (27335587258040).

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

21705001161160 is a wasteful number, since it uses less digits than its factorization.

21705001161160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270397861 (or 2270397857 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The spelling of 21705001161160 in words is "twenty-one trillion, seven hundred five billion, one million, one hundred sixty-one thousand, one hundred sixty".