220172600400 has 360 divisors, whose sum is σ = 746751892320. Its totient is φ = 55444055040.

The previous prime is 220172600399. The next prime is 220172600447. The reversal of 220172600400 is 4006271022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181510194 + ... + 181511406.

It is an arithmetic number, because the mean of its divisors is an integer number (2074310812).

Almost surely, 2^220172600400 is an apocalyptic number.

220172600400 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 220172600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373375946160).

220172600400 is an abundant number, since it is smaller than the sum of its proper divisors (526579291920).

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

220172600400 is a wasteful number, since it uses less digits than its factorization.

220172600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 220172600400 its reverse (4006271022), we get a palindrome (224178871422).

The spelling of 220172600400 in words is "two hundred twenty billion, one hundred seventy-two million, six hundred thousand, four hundred".