21459271680000 has 3420 divisors, whose sum is σ = 101947741367472. Its totient is φ = 4459069440000.

The previous prime is 21459271679999. The next prime is 21459271680031. The reversal of 21459271680000 is 8617295412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1950842879995 + ... + 1950842880005.

Almost surely, 2^{21459271680000} is an apocalyptic number.

21459271680000 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 21459271680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50973870683736).

21459271680000 is an abundant number, since it is smaller than the sum of its proper divisors (80488469687472).

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

21459271680000 is an frugal number, since it uses more digits than its factorization.

21459271680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 21459271680000 in words is "twenty-one trillion, four hundred fifty-nine billion, two hundred seventy-one million, six hundred eighty thousand".