220048455600 has 360 divisors, whose sum is σ = 838501176240. Its totient is φ = 55227432960.

The previous prime is 220048455589. The next prime is 220048455629. The reversal of 220048455600 is 6554840022.

It is a happy number.

220048455600 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 8 + 45 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1585816 + ... + 1718984.

It is an arithmetic number, because the mean of its divisors is an integer number (2329169934).

Almost surely, 2^220048455600 is an apocalyptic number.

220048455600 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 220048455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419250588120).

220048455600 is an abundant number, since it is smaller than the sum of its proper divisors (618452720640).

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

220048455600 is a wasteful number, since it uses less digits than its factorization.

220048455600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133219 (or 133196 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 220048455600 in words is "two hundred twenty billion, forty-eight million, four hundred fifty-five thousand, six hundred".