21081330456480 has 288 divisors, whose sum is σ = 82307474016768. Its totient is φ = 4813298380800.

The previous prime is 21081330456443. The next prime is 21081330456491. The reversal of 21081330456480 is 8465403318012.

21081330456480 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 1 + 3 + 3 + 0 + 4 + 564 + 80 = 666.

It is a Cunningham number, because it is equal to 4591441²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21081330456480² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8035020 + ... + 10330740.

It is an arithmetic number, because the mean of its divisors is an integer number (285789840336).

Almost surely, 2^{21081330456480} is an apocalyptic number.

21081330456480 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 21081330456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41153737008384).

21081330456480 is an abundant number, since it is smaller than the sum of its proper divisors (61226143560288).

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

21081330456480 is a wasteful number, since it uses less digits than its factorization.

21081330456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296660 (or 2296649 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21081330456480 in words is "twenty-one trillion, eighty-one billion, three hundred thirty million, four hundred fifty-six thousand, four hundred eighty".