21604949424000 has 2048 divisors, whose sum is σ = 85445148672000. Its totient is φ = 5355063705600.

The previous prime is 21604949423999. The next prime is 21604949424001. The reversal of 21604949424000 is 42494940612.

21604949424000 is a `hidden beast` number, since 2 + 160 + 4 + 9 + 49 + 42 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21604949423999) and next prime (21604949424001).

It is a super-2 number, since 2×21604949424000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21604949424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58869071817 + ... + 58869072183.

It is an arithmetic number, because the mean of its divisors is an integer number (41721264000).

Almost surely, 2^{21604949424000} is an apocalyptic number.

21604949424000 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 21604949424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42722574336000).

21604949424000 is an abundant number, since it is smaller than the sum of its proper divisors (63840199248000).

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

21604949424000 is a wasteful number, since it uses less digits than its factorization.

21604949424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 21604949424000 in words is "twenty-one trillion, six hundred four billion, nine hundred forty-nine million, four hundred twenty-four thousand".