21052904662080 has 672 divisors, whose sum is σ = 76794145908480. Its totient is φ = 5282970992640.

The previous prime is 21052904662037. The next prime is 21052904662087. The reversal of 21052904662080 is 8026640925012.

21052904662080 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 2 + 90 + 466 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21052904662087) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1324990776 + ... + 1325006664.

It is an arithmetic number, because the mean of its divisors is an integer number (114277002840).

Almost surely, 2^{21052904662080} is an apocalyptic number.

21052904662080 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 21052904662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38397072954240).

21052904662080 is an abundant number, since it is smaller than the sum of its proper divisors (55741241246400).

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

21052904662080 is a wasteful number, since it uses less digits than its factorization.

21052904662080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16259 (or 16246 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 21052904662080 in words is "twenty-one trillion, fifty-two billion, nine hundred four million, six hundred sixty-two thousand, eighty".