220666573800 has 576 divisors, whose sum is σ = 810939168000. Its totient is φ = 53561088000.

The previous prime is 220666573793. The next prime is 220666573801. The reversal of 220666573800 is 8375666022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (220666573801) 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 143 ways as a sum of consecutive naturals, for example, 268777390 + ... + 268778210.

It is an arithmetic number, because the mean of its divisors is an integer number (1407880500).

Almost surely, 2^220666573800 is an apocalyptic number.

220666573800 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 220666573800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405469584000).

220666573800 is an abundant number, since it is smaller than the sum of its proper divisors (590272594200).

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

220666573800 is a wasteful number, since it uses less digits than its factorization.

220666573800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 220666573800 in words is "two hundred twenty billion, six hundred sixty-six million, five hundred seventy-three thousand, eight hundred".