21828530880 has 336 divisors, whose sum is σ = 84375345600. Its totient is φ = 5139357696.

The previous prime is 21828530851. The next prime is 21828530981. The reversal of 21828530880 is 8803582812.

21828530880 is a `hidden beast` number, since 2 + 18 + 28 + 530 + 8 + 80 = 666.

It is a super-2 number, since 2×21828530880² (a number of 21 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, 848446 + ... + 873794.

It is an arithmetic number, because the mean of its divisors is an integer number (251117100).

Almost surely, 2^21828530880 is an apocalyptic number.

21828530880 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 21828530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42187672800).

21828530880 is an abundant number, since it is smaller than the sum of its proper divisors (62546814720).

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

21828530880 is a wasteful number, since it uses less digits than its factorization.

21828530880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25408 (or 25395 counting only the distinct ones).

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

The spelling of 21828530880 in words is "twenty-one billion, eight hundred twenty-eight million, five hundred thirty thousand, eight hundred eighty".