221880975360 has 816 divisors, whose sum is σ = 834391694592. Its totient is φ = 49912217600.

The previous prime is 221880975359. The next prime is 221880975373. The reversal of 221880975360 is 63579088122.

221880975360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3125084125 + ... + 3125084195.

Almost surely, 2^221880975360 is an apocalyptic number.

221880975360 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 221880975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417195847296).

221880975360 is an abundant number, since it is smaller than the sum of its proper divisors (612510719232).

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

221880975360 is an equidigital number, since it uses as much as digits as its factorization.

221880975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 221880975360 in words is "two hundred twenty-one billion, eight hundred eighty million, nine hundred seventy-five thousand, three hundred sixty".