221727350541420 has 72 divisors (see below), whose sum is σ = 672607452504624. Its totient is φ = 59124261460608.

The previous prime is 221727350541353. The next prime is 221727350541479. The reversal of 221727350541420 is 24145053727122.

221727350541420 is a `hidden beast` number, since 2 + 2 + 1 + 72 + 7 + 35 + 0 + 541 + 4 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28062499 + ... + 35085018.

Almost surely, 2^{221727350541420} is an apocalyptic number.

221727350541420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221727350541420 is an abundant number, since it is smaller than the sum of its proper divisors (450880101963204).

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

221727350541420 is a wasteful number, since it uses less digits than its factorization.

221727350541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63167039 (or 63167034 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 221727350541420 in words is "two hundred twenty-one trillion, seven hundred twenty-seven billion, three hundred fifty million, five hundred forty-one thousand, four hundred twenty".