21728760000 has 280 divisors, whose sum is σ = 73528513344. Its totient is φ = 5658240000.

The previous prime is 21728759981. The next prime is 21728760013. The reversal of 21728760000 is 6782712.

It is a super-2 number, since 2×21728760000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5157895 + ... + 5162105.

Almost surely, 2^21728760000 is an apocalyptic number.

21728760000 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 21728760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36764256672).

21728760000 is an abundant number, since it is smaller than the sum of its proper divisors (51799753344).

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

21728760000 is an equidigital number, since it uses as much as digits as its factorization.

21728760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 21728760000 in words is "twenty-one billion, seven hundred twenty-eight million, seven hundred sixty thousand".