21300310056960 has 1792 divisors, whose sum is σ = 86203414080000. Its totient is φ = 4942630748160.

The previous prime is 21300310056953. The next prime is 21300310057007. The reversal of 21300310056960 is 6965001300312.

21300310056960 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 0 + 31 + 0 + 0 + 569 + 60 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61032406866 + ... + 61032407214.

It is an arithmetic number, because the mean of its divisors is an integer number (48104583750).

Almost surely, 2^{21300310056960} is an apocalyptic number.

21300310056960 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 21300310056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43101707040000).

21300310056960 is an abundant number, since it is smaller than the sum of its proper divisors (64903104023040).

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

21300310056960 is a wasteful number, since it uses less digits than its factorization.

21300310056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 21300310056960 in words is "twenty-one trillion, three hundred billion, three hundred ten million, fifty-six thousand, nine hundred sixty".