21824475128064 has 1080 divisors, whose sum is σ = 79367723886528. Its totient is φ = 5866025287680.

The previous prime is 21824475128039. The next prime is 21824475128083. The reversal of 21824475128064 is 46082157442812.

21824475128064 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 4 + 47 + 512 + 80 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21824475128064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10193588434 + ... + 10193590574.

Almost surely, 2^{21824475128064} is an apocalyptic number.

21824475128064 is a gapful number since it is divisible by the number (24) 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 21824475128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39683861943264).

21824475128064 is an abundant number, since it is smaller than the sum of its proper divisors (57543248758464).

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

21824475128064 is an frugal number, since it uses more digits than its factorization.

21824475128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 21824475128064 in words is "twenty-one trillion, eight hundred twenty-four billion, four hundred seventy-five million, one hundred twenty-eight thousand, sixty-four".