21198582384000 has 2048 divisors, whose sum is σ = 85010101862400. Its totient is φ = 4572868608000.

The previous prime is 21198582383989. The next prime is 21198582384013. The reversal of 21198582384000 is 48328589112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59048975821 + ... + 59048976179.

It is an arithmetic number, because the mean of its divisors is an integer number (41508838800).

Almost surely, 2^{21198582384000} is an apocalyptic number.

21198582384000 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 21198582384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42505050931200).

21198582384000 is an abundant number, since it is smaller than the sum of its proper divisors (63811519478400).

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

21198582384000 is a wasteful number, since it uses less digits than its factorization.

21198582384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 21198582384000 in words is "twenty-one trillion, one hundred ninety-eight billion, five hundred eighty-two million, three hundred eighty-four thousand".