21360160160064 has 168 divisors, whose sum is σ = 66807972608832. Its totient is φ = 6471126650880.

The previous prime is 21360160160033. The next prime is 21360160160069. The reversal of 21360160160064 is 46006106106312.

It is a happy number.

21360160160064 is a `hidden beast` number, since 2 + 1 + 36 + 0 + 16 + 0 + 1 + 600 + 6 + 4 = 666.

It is a super-2 number, since 2×21360160160064² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21360160160069) 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 23 ways as a sum of consecutive naturals, for example, 24555352 + ... + 25410344.

It is an arithmetic number, because the mean of its divisors is an integer number (397666503624).

Almost surely, 2^{21360160160064} is an apocalyptic number.

21360160160064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21360160160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33403986304416).

21360160160064 is an abundant number, since it is smaller than the sum of its proper divisors (45447812448768).

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

21360160160064 is a wasteful number, since it uses less digits than its factorization.

21360160160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858965 (or 858952 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 21360160160064 its reverse (46006106106312), we get a palindrome (67366266266376).

The spelling of 21360160160064 in words is "twenty-one trillion, three hundred sixty billion, one hundred sixty million, one hundred sixty thousand, sixty-four".