21034020010980 has 192 divisors, whose sum is σ = 60202346803200. Its totient is φ = 5485674585600.

The previous prime is 21034020010909. The next prime is 21034020010981. The reversal of 21034020010980 is 8901002043012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21034020010981) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1170433395 + ... + 1170451365.

It is an arithmetic number, because the mean of its divisors is an integer number (313553889600).

Almost surely, 2^{21034020010980} is an apocalyptic number.

21034020010980 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 21034020010980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30101173401600).

21034020010980 is an abundant number, since it is smaller than the sum of its proper divisors (39168326792220).

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

21034020010980 is a wasteful number, since it uses less digits than its factorization.

21034020010980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19850 (or 19848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 21034020010980 its reverse (8901002043012), we get a palindrome (29935022053992).

The spelling of 21034020010980 in words is "twenty-one trillion, thirty-four billion, twenty million, ten thousand, nine hundred eighty".