21142810080 has 288 divisors, whose sum is σ = 86082302880. Its totient is φ = 4832593920.

The previous prime is 21142810069. The next prime is 21142810109. The reversal of 21142810080 is 8001824112.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 161740 + ... + 261620.

It is an arithmetic number, because the mean of its divisors is an integer number (298896885).

Almost surely, 2^21142810080 is an apocalyptic number.

21142810080 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 21142810080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43041151440).

21142810080 is an abundant number, since it is smaller than the sum of its proper divisors (64939492800).

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

21142810080 is a wasteful number, since it uses less digits than its factorization.

21142810080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99919 (or 99898 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 21142810080 in words is "twenty-one billion, one hundred forty-two million, eight hundred ten thousand, eighty".