21801648960000 has 4200 divisors, whose sum is σ = 102276979390080. Its totient is φ = 4541681664000.

The previous prime is 21801648959989. The next prime is 21801648960031. The reversal of 21801648960000 is 6984610812.

21801648960000 is a `hidden beast` number, since 21 + 8 + 0 + 16 + 4 + 8 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4200).

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 419 ways as a sum of consecutive naturals, for example, 275970239961 + ... + 275970240039.

Almost surely, 2^{21801648960000} is an apocalyptic number.

21801648960000 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 21801648960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51138489695040).

21801648960000 is an abundant number, since it is smaller than the sum of its proper divisors (80475330430080).

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

21801648960000 is an frugal number, since it uses more digits than its factorization.

21801648960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 21801648960000 in words is "twenty-one trillion, eight hundred one billion, six hundred forty-eight million, nine hundred sixty thousand".