221728507017600 has 768 divisors, whose sum is σ = 805156441689600. Its totient is φ = 53183958220800.

The previous prime is 221728507017569. The next prime is 221728507017617. The reversal of 221728507017600 is 6710705827122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 221728507017600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8368047552 + ... + 8368074048.

It is an arithmetic number, because the mean of its divisors is an integer number (1048380783450).

Almost surely, 2^{221728507017600} is an apocalyptic number.

221728507017600 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 221728507017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402578220844800).

221728507017600 is an abundant number, since it is smaller than the sum of its proper divisors (583427934672000).

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

221728507017600 is a wasteful number, since it uses less digits than its factorization.

221728507017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27371 (or 27354 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 221728507017600 in words is "two hundred twenty-one trillion, seven hundred twenty-eight billion, five hundred seven million, seventeen thousand, six hundred".