21382299648000 has 1760 divisors, whose sum is σ = 85505396502240. Its totient is φ = 5299922534400.

The previous prime is 21382299647999. The next prime is 21382299648023. The reversal of 21382299648000 is 84699228312.

21382299648000 is a `hidden beast` number, since 2 + 138 + 2 + 29 + 9 + 6 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 403439615974 + ... + 403439616026.

It is an arithmetic number, because the mean of its divisors is an integer number (48582611649).

Almost surely, 2^{21382299648000} is an apocalyptic number.

21382299648000 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 21382299648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42752698251120).

21382299648000 is an abundant number, since it is smaller than the sum of its proper divisors (64123096854240).

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

21382299648000 is an frugal number, since it uses more digits than its factorization.

21382299648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 21382299648000 in words is "twenty-one trillion, three hundred eighty-two billion, two hundred ninety-nine million, six hundred forty-eight thousand".