220960725811200 has 5040 divisors, whose sum is σ = 959251041504000. Its totient is φ = 50084267950080.

The previous prime is 220960725811123. The next prime is 220960725811237. The reversal of 220960725811200 is 2118527069022.

220960725811200 is a `hidden beast` number, since 2 + 2 + 0 + 9 + 60 + 7 + 2 + 581 + 1 + 2 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2796971212761 + ... + 2796971212839.

It is an arithmetic number, because the mean of its divisors is an integer number (190327587600).

Almost surely, 2^{220960725811200} is an apocalyptic number.

220960725811200 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 220960725811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479625520752000).

220960725811200 is an abundant number, since it is smaller than the sum of its proper divisors (738290315692800).

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

220960725811200 is an equidigital number, since it uses as much as digits as its factorization.

220960725811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 220960725811200 in words is "two hundred twenty trillion, nine hundred sixty billion, seven hundred twenty-five million, eight hundred eleven thousand, two hundred".