21234894266880 has 1680 divisors, whose sum is σ = 90043796285784. Its totient is φ = 4785696276480.

The previous prime is 21234894266863. The next prime is 21234894266921. The reversal of 21234894266880 is 8866249843212.

21234894266880 is a `hidden beast` number, since 2 + 12 + 3 + 489 + 4 + 2 + 6 + 68 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12754497966336 + 8480396300544 = 3571344^2 + 2912112^2 .

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6675538890 + ... + 6675542070.

Almost surely, 2^{21234894266880} is an apocalyptic number.

21234894266880 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 21234894266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45021898142892).

21234894266880 is an abundant number, since it is smaller than the sum of its proper divisors (68808902018904).

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

21234894266880 is an frugal number, since it uses more digits than its factorization.

21234894266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 21234894266880 in words is "twenty-one trillion, two hundred thirty-four billion, eight hundred ninety-four million, two hundred sixty-six thousand, eight hundred eighty".