21144627504000 has 3584 divisors, whose sum is σ = 105886941189120. Its totient is φ = 4053473280000.

The previous prime is 21144627503957. The next prime is 21144627504047. The reversal of 21144627504000 is 40572644112.

21144627504000 is a `hidden beast` number, since 2 + 1 + 144 + 6 + 2 + 7 + 504 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 11675663095 + ... + 11675664905.

It is an arithmetic number, because the mean of its divisors is an integer number (29544347430).

Almost surely, 2^{21144627504000} is an apocalyptic number.

21144627504000 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 21144627504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52943470594560).

21144627504000 is an abundant number, since it is smaller than the sum of its proper divisors (84742313685120).

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

21144627504000 is a wasteful number, since it uses less digits than its factorization.

21144627504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 21144627504000 in words is "twenty-one trillion, one hundred forty-four billion, six hundred twenty-seven million, five hundred four thousand".