220475869766400 has 432 divisors, whose sum is σ = 765985102010240. Its totient is φ = 55693843660800.

The previous prime is 220475869766377. The next prime is 220475869766407. The reversal of 220475869766400 is 4667968574022.

It is not an unprimeable number, because it can be changed into a prime (220475869766407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5006128380 + ... + 5006172420.

Almost surely, 2^{220475869766400} is an apocalyptic number.

220475869766400 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 220475869766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382992551005120).

220475869766400 is an abundant number, since it is smaller than the sum of its proper divisors (545509232243840).

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

220475869766400 is a wasteful number, since it uses less digits than its factorization.

220475869766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57812 (or 57793 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 220475869766400 in words is "two hundred twenty trillion, four hundred seventy-five billion, eight hundred sixty-nine million, seven hundred sixty-six thousand, four hundred".