220185680400 has 960 divisors, whose sum is σ = 920641075200. Its totient is φ = 48942766080.

The previous prime is 220185680389. The next prime is 220185680443. The reversal of 220185680400 is 4086581022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 717217047 + ... + 717217353.

It is an arithmetic number, because the mean of its divisors is an integer number (959001120).

Almost surely, 2^220185680400 is an apocalyptic number.

220185680400 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 220185680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460320537600).

220185680400 is an abundant number, since it is smaller than the sum of its proper divisors (700455394800).

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

220185680400 is a wasteful number, since it uses less digits than its factorization.

220185680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 220185680400 in words is "two hundred twenty billion, one hundred eighty-five million, six hundred eighty thousand, four hundred".