21455884800000 has 2496 divisors, whose sum is σ = 93166661952000. Its totient is φ = 4877107200000.

The previous prime is 21455884799963. The next prime is 21455884800011. The reversal of 21455884800000 is 848855412.

21455884800000 is a `hidden beast` number, since 2 + 14 + 558 + 8 + 4 + 80 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118540799910 + ... + 118540800090.

It is an arithmetic number, because the mean of its divisors is an integer number (37326387000).

Almost surely, 2^{21455884800000} is an apocalyptic number.

21455884800000 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 21455884800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46583330976000).

21455884800000 is an abundant number, since it is smaller than the sum of its proper divisors (71710777152000).

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

21455884800000 is an frugal number, since it uses more digits than its factorization.

21455884800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 21455884800000 in words is "twenty-one trillion, four hundred fifty-five billion, eight hundred eighty-four million, eight hundred thousand".