220554252800 has 270 divisors, whose sum is σ = 636728888763. Its totient is φ = 75491082240.

The previous prime is 220554252781. The next prime is 220554252803. The reversal of 220554252800 is 8252455022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 104551342336 + 116002910464 = 323344^2 + 340592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332080.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220554252803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 371929304 + ... + 371929896.

Almost surely, 2^220554252800 is an apocalyptic number.

220554252800 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 220554252800

220554252800 is an abundant number, since it is smaller than the sum of its proper divisors (416174635963).

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

220554252800 is an frugal number, since it uses more digits than its factorization.

220554252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 220554252800 in words is "two hundred twenty billion, five hundred fifty-four million, two hundred fifty-two thousand, eight hundred".