221600400000 has 1536 divisors, whose sum is σ = 930180464640. Its totient is φ = 45619200000.

The previous prime is 221600399989. The next prime is 221600400011. The reversal of 221600400000 is 4006122.

It is an interprime number because it is at equal distance from previous prime (221600399989) and next prime (221600400011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5989199982 + ... + 5989200018.

It is an arithmetic number, because the mean of its divisors is an integer number (605586240).

Almost surely, 2^221600400000 is an apocalyptic number.

221600400000 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 221600400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465090232320).

221600400000 is an abundant number, since it is smaller than the sum of its proper divisors (708580064640).

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

221600400000 is an equidigital number, since it uses as much as digits as its factorization.

221600400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221600400000 its reverse (4006122), we get a palindrome (221604406122).

The spelling of 221600400000 in words is "two hundred twenty-one billion, six hundred million, four hundred thousand".