21628384128000 has 2112 divisors, whose sum is σ = 88167973944960. Its totient is φ = 5255331840000.

The previous prime is 21628384127951. The next prime is 21628384128019. The reversal of 21628384128000 is 82148382612.

21628384128000 is a `hidden beast` number, since 2 + 1 + 628 + 3 + 8 + 4 + 12 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 35987327700 + ... + 35987328300.

Almost surely, 2^{21628384128000} is an apocalyptic number.

21628384128000 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 21628384128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44083986972480).

21628384128000 is an abundant number, since it is smaller than the sum of its proper divisors (66539589816960).

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

21628384128000 is an equidigital number, since it uses as much as digits as its factorization.

21628384128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 21628384128000 in words is "twenty-one trillion, six hundred twenty-eight billion, three hundred eighty-four million, one hundred twenty-eight thousand".