221904242426880 has 880 divisors, whose sum is σ = 863927647040304. Its totient is φ = 54139048427520.

The previous prime is 221904242426773. The next prime is 221904242426899. The reversal of 221904242426880 is 88624242409122.

221904242426880 is a `hidden beast` number, since 2 + 2 + 190 + 4 + 2 + 424 + 26 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27209326657536 + 194694915769344 = 5216256^2 + 13953312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 609041560 + ... + 609405800.

Almost surely, 2^{221904242426880} is an apocalyptic number.

221904242426880 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 221904242426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431963823520152).

221904242426880 is an abundant number, since it is smaller than the sum of its proper divisors (642023404613424).

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

221904242426880 is a wasteful number, since it uses less digits than its factorization.

221904242426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364404 (or 364377 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 221904242426880 in words is "two hundred twenty-one trillion, nine hundred four billion, two hundred forty-two million, four hundred twenty-six thousand, eight hundred eighty".