21083145108480 has 2640 divisors, whose sum is σ = 95512466491200. Its totient is φ = 4443239743488.

The previous prime is 21083145108479. The next prime is 21083145108491. The reversal of 21083145108480 is 8480154138012.

21083145108480 is a `hidden beast` number, since 2 + 1 + 0 + 83 + 14 + 510 + 8 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24040073802 + ... + 24040074678.

It is an arithmetic number, because the mean of its divisors is an integer number (36178964580).

Almost surely, 2^{21083145108480} is an apocalyptic number.

21083145108480 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 21083145108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47756233245600).

21083145108480 is an abundant number, since it is smaller than the sum of its proper divisors (74429321382720).

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

21083145108480 is an equidigital number, since it uses as much as digits as its factorization.

21083145108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 21083145108480 in words is "twenty-one trillion, eighty-three billion, one hundred forty-five million, one hundred eight thousand, four hundred eighty".