21816098304000 has 2496 divisors, whose sum is σ = 99259847511552. Its totient is φ = 4182441984000.

The previous prime is 21816098303977. The next prime is 21816098304017. The reversal of 21816098304000 is 40389061812.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10762750987 + ... + 10762753013.

It is an arithmetic number, because the mean of its divisors is an integer number (39767567112).

Almost surely, 2^{21816098304000} is an apocalyptic number.

21816098304000 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 21816098304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49629923755776).

21816098304000 is an abundant number, since it is smaller than the sum of its proper divisors (77443749207552).

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

21816098304000 is a wasteful number, since it uses less digits than its factorization.

21816098304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 21816098304000 in words is "twenty-one trillion, eight hundred sixteen billion, ninety-eight million, three hundred four thousand".