21728010240000 has 2040 divisors, whose sum is σ = 84955965013920. Its totient is φ = 5541986304000.

The previous prime is 21728010239983. The next prime is 21728010240007. The reversal of 21728010240000 is 4201082712.

21728010240000 is a `hidden beast` number, since 2 + 172 + 80 + 10 + 2 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21728010240007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 368271359971 + ... + 368271360029.

Almost surely, 2^{21728010240000} is an apocalyptic number.

21728010240000 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 21728010240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42477982506960).

21728010240000 is an abundant number, since it is smaller than the sum of its proper divisors (63227954773920).

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

21728010240000 is an frugal number, since it uses more digits than its factorization.

21728010240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 21728010240000 in words is "twenty-one trillion, seven hundred twenty-eight billion, ten million, two hundred forty thousand".