21020143129984 has 128 divisors (see below), whose sum is σ = 43418518801920. Its totient is φ = 10129852508160.

The previous prime is 21020143129963. The next prime is 21020143130011. The reversal of 21020143129984 is 48992134102012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1890805194 + ... + 1890816310.

It is an arithmetic number, because the mean of its divisors is an integer number (339207178140).

Almost surely, 2^{21020143129984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020143129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21709259400960).

21020143129984 is an abundant number, since it is smaller than the sum of its proper divisors (22398375671936).

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

21020143129984 is a wasteful number, since it uses less digits than its factorization.

21020143129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15936 (or 15924 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 21020143129984 in words is "twenty-one trillion, twenty billion, one hundred forty-three million, one hundred twenty-nine thousand, nine hundred eighty-four".