221620628275200 has 5940 divisors, whose sum is σ = 1107715764512952. Its totient is φ = 43342154956800.

The previous prime is 221620628275169. The next prime is 221620628275201. The reversal of 221620628275200 is 2572826026122.

221620628275200 is a `hidden beast` number, since 2 + 2 + 1 + 62 + 0 + 62 + 8 + 2 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5940).

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 (221620628275201) by changing a digit.

It is a polite number, since it can be written in 395 ways as a sum of consecutive naturals, for example, 13036507545592 + ... + 13036507545608.

Almost surely, 2^{221620628275200} is an apocalyptic number.

221620628275200 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 221620628275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553857882256476).

221620628275200 is an abundant number, since it is smaller than the sum of its proper divisors (886095136237752).

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

221620628275200 is an frugal number, since it uses more digits than its factorization.

221620628275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 221620628275200 in words is "two hundred twenty-one trillion, six hundred twenty billion, six hundred twenty-eight million, two hundred seventy-five thousand, two hundred".