21824485523880 has 256 divisors, whose sum is σ = 70677108230400. Its totient is φ = 5359453102080.

The previous prime is 21824485523857. The next prime is 21824485523881. The reversal of 21824485523880 is 8832558442812.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (21824485523881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404308910 + ... + 1404324450.

It is an arithmetic number, because the mean of its divisors is an integer number (276082454025).

Almost surely, 2^{21824485523880} is an apocalyptic number.

21824485523880 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 21824485523880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35338554115200).

21824485523880 is an abundant number, since it is smaller than the sum of its proper divisors (48852622706520).

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

21824485523880 is a wasteful number, since it uses less digits than its factorization.

21824485523880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17644 (or 17640 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 60.

The spelling of 21824485523880 in words is "twenty-one trillion, eight hundred twenty-four billion, four hundred eighty-five million, five hundred twenty-three thousand, eight hundred eighty".