21073353016320 has 2816 divisors, whose sum is σ = 91786510540800. Its totient is φ = 4530485329920.

The previous prime is 21073353016139. The next prime is 21073353016361. The reversal of 21073353016320 is 2361035337012.

21073353016320 is a `hidden beast` number, since 2 + 10 + 7 + 3 + 3 + 5 + 3 + 0 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 314527656927 + ... + 314527656993.

Almost surely, 2^{21073353016320} is an apocalyptic number.

21073353016320 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 21073353016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45893255270400).

21073353016320 is an abundant number, since it is smaller than the sum of its proper divisors (70713157524480).

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

21073353016320 is a wasteful number, since it uses less digits than its factorization.

21073353016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 21073353016320 in words is "twenty-one trillion, seventy-three billion, three hundred fifty-three million, sixteen thousand, three hundred twenty".