220132413600 has 288 divisors, whose sum is σ = 806888355840. Its totient is φ = 51643776000.

The previous prime is 220132413593. The next prime is 220132413629. The reversal of 220132413600 is 6314231022.

It is a super-2 number, since 2×220132413600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683911 + ... + 952889.

It is an arithmetic number, because the mean of its divisors is an integer number (2801695680).

Almost surely, 2^220132413600 is an apocalyptic number.

220132413600 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 220132413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403444177920).

220132413600 is an abundant number, since it is smaller than the sum of its proper divisors (586755942240).

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

220132413600 is a wasteful number, since it uses less digits than its factorization.

220132413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269044 (or 269031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 220132413600 its reverse (6314231022), we get a palindrome (226446644622).

The spelling of 220132413600 in words is "two hundred twenty billion, one hundred thirty-two million, four hundred thirteen thousand, six hundred".