220060945800 has 288 divisors, whose sum is σ = 768677364000. Its totient is φ = 58509319680.

The previous prime is 220060945799. The next prime is 220060945813. The reversal of 220060945800 is 8549060022.

It is a happy number.

220060945800 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 609 + 45 + 8 + 0 + 0 = 666.

220060945800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16857676 + ... + 16870724.

It is an arithmetic number, because the mean of its divisors is an integer number (2669018625).

Almost surely, 2^220060945800 is an apocalyptic number.

220060945800 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 220060945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384338682000).

220060945800 is an abundant number, since it is smaller than the sum of its proper divisors (548616418200).

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

220060945800 is a wasteful number, since it uses less digits than its factorization.

220060945800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13427 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 220060945800 in words is "two hundred twenty billion, sixty million, nine hundred forty-five thousand, eight hundred".