221620376332800 has 1200 divisors, whose sum is σ = 831407144385312. Its totient is φ = 58539320524800.

The previous prime is 221620376332781. The next prime is 221620376332931. The reversal of 221620376332800 is 8233673026122.

221620376332800 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 0 + 3 + 7 + 633 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26957832690 + ... + 26957840910.

Almost surely, 2^{221620376332800} is an apocalyptic number.

221620376332800 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 221620376332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415703572192656).

221620376332800 is an abundant number, since it is smaller than the sum of its proper divisors (609786768052512).

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

221620376332800 is an frugal number, since it uses more digits than its factorization.

221620376332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8383 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 221620376332800 in words is "two hundred twenty-one trillion, six hundred twenty billion, three hundred seventy-six million, three hundred thirty-two thousand, eight hundred".