220668753415400 has 192 divisors, whose sum is σ = 544145063112000. Its totient is φ = 82989414604800.

The previous prime is 220668753415393. The next prime is 220668753415459. The reversal of 220668753415400 is 4514357866022.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447719992 + ... + 1447872408.

It is an arithmetic number, because the mean of its divisors is an integer number (2834088870375).

Almost surely, 2^{220668753415400} is an apocalyptic number.

220668753415400 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 220668753415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272072531556000).

220668753415400 is an abundant number, since it is smaller than the sum of its proper divisors (323476309696600).

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

220668753415400 is a wasteful number, since it uses less digits than its factorization.

220668753415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155332 (or 155323 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 53.

The spelling of 220668753415400 in words is "two hundred twenty trillion, six hundred sixty-eight billion, seven hundred fifty-three million, four hundred fifteen thousand, four hundred".