21711491320320 has 400 divisors, whose sum is σ = 78193470563208. Its totient is φ = 5757733601280.

The previous prime is 21711491320313. The next prime is 21711491320331. The reversal of 21711491320320 is 2302319411712.

21711491320320 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 1 + 4 + 9 + 1 + 320 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4008132129024 + 17703359191296 = 2002032^2 + 4207536^2 .

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 39 ways as a sum of consecutive naturals, for example, 37242922 + ... + 37821398.

Almost surely, 2^{21711491320320} is an apocalyptic number.

21711491320320 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 21711491320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39096735281604).

21711491320320 is an abundant number, since it is smaller than the sum of its proper divisors (56481979242888).

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

21711491320320 is an equidigital number, since it uses as much as digits as its factorization.

21711491320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578693 (or 578668 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 21711491320320 in words is "twenty-one trillion, seven hundred eleven billion, four hundred ninety-one million, three hundred twenty thousand, three hundred twenty".