21160341224064 has 640 divisors, whose sum is σ = 72677784453120. Its totient is φ = 5986457487360.

The previous prime is 21160341224023. The next prime is 21160341224093. The reversal of 21160341224064 is 46042214306112.

21160341224064 is a `hidden beast` number, since 2 + 1 + 1 + 603 + 4 + 1 + 2 + 2 + 40 + 6 + 4 = 666.

It is a super-3 number, since 3×21160341224064³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5410466269 + ... + 5410470179.

It is an arithmetic number, because the mean of its divisors is an integer number (113559038208).

Almost surely, 2^{21160341224064} is an apocalyptic number.

21160341224064 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 21160341224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36338892226560).

21160341224064 is an abundant number, since it is smaller than the sum of its proper divisors (51517443229056).

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

21160341224064 is a wasteful number, since it uses less digits than its factorization.

21160341224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 21160341224064 in words is "twenty-one trillion, one hundred sixty billion, three hundred forty-one million, two hundred twenty-four thousand, sixty-four".