21086805592320 has 2304 divisors, whose sum is σ = 83737979781120. Its totient is φ = 4464731750400.

The previous prime is 21086805592271. The next prime is 21086805592331. The reversal of 21086805592320 is 2329550868012.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 110402123425 + ... + 110402123615.

It is an arithmetic number, because the mean of its divisors is an integer number (36344609280).

Almost surely, 2^{21086805592320} is an apocalyptic number.

21086805592320 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 21086805592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868989890560).

21086805592320 is an abundant number, since it is smaller than the sum of its proper divisors (62651174188800).

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

21086805592320 is a wasteful number, since it uses less digits than its factorization.

21086805592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 21086805592320 in words is "twenty-one trillion, eighty-six billion, eight hundred five million, five hundred ninety-two thousand, three hundred twenty".