21067983360 has 640 divisors, whose sum is σ = 78275704320. Its totient is φ = 5434490880.

The previous prime is 21067983353. The next prime is 21067983361. The reversal of 21067983360 is 6338976012.

21067983360 is a `hidden beast` number, since 210 + 6 + 79 + 8 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21067983361) 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 63 ways as a sum of consecutive naturals, for example, 296732125 + ... + 296732195.

It is an arithmetic number, because the mean of its divisors is an integer number (122305788).

Almost surely, 2^21067983360 is an apocalyptic number.

21067983360 is a gapful number since it is divisible by the number (20) 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 21067983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39137852160).

21067983360 is an abundant number, since it is smaller than the sum of its proper divisors (57207720960).

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

21067983360 is an frugal number, since it uses more digits than its factorization.

21067983360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 21067983360 in words is "twenty-one billion, sixty-seven million, nine hundred eighty-three thousand, three hundred sixty".