21082264570368 has 240 divisors, whose sum is σ = 61929755027712. Its totient is φ = 6902848512000.

The previous prime is 21082264570291. The next prime is 21082264570369. The reversal of 21082264570368 is 86307546228012.

21082264570368 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 2 + 2 + 6 + 4 + 570 + 3 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (21082264570369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88543638 + ... + 88781418.

Almost surely, 2^{21082264570368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21082264570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30964877513856).

21082264570368 is an abundant number, since it is smaller than the sum of its proper divisors (40847490457344).

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

21082264570368 is a wasteful number, since it uses less digits than its factorization.

21082264570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238147 (or 238128 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 21082264570368 in words is "twenty-one trillion, eighty-two billion, two hundred sixty-four million, five hundred seventy thousand, three hundred sixty-eight".