220648095360 has 1280 divisors, whose sum is σ = 991277844480. Its totient is φ = 45436723200.

The previous prime is 220648095341. The next prime is 220648095403. The reversal of 220648095360 is 63590846022.

220648095360 is a `hidden beast` number, since 2 + 20 + 6 + 480 + 95 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 666610395 + ... + 666610725.

It is an arithmetic number, because the mean of its divisors is an integer number (774435816).

Almost surely, 2^220648095360 is an apocalyptic number.

220648095360 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 220648095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495638922240).

220648095360 is an abundant number, since it is smaller than the sum of its proper divisors (770629749120).

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

220648095360 is a wasteful number, since it uses less digits than its factorization.

220648095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 220648095360 in words is "two hundred twenty billion, six hundred forty-eight million, ninety-five thousand, three hundred sixty".