221378580000 has 270 divisors, whose sum is σ = 787389852249. Its totient is φ = 58981056000.

The previous prime is 221378579969. The next prime is 221378580061. The reversal of 221378580000 is 85873122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221378580000 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 78 + 580 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 144731550096 + 76647029904 = 380436^2 + 276852^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332700.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 199619446 + ... + 199620554.

Almost surely, 2^221378580000 is an apocalyptic number.

221378580000 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 221378580000

221378580000 is an abundant number, since it is smaller than the sum of its proper divisors (566011272249).

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

221378580000 is an frugal number, since it uses more digits than its factorization.

221378580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 221378580000 in words is "two hundred twenty-one billion, three hundred seventy-eight million, five hundred eighty thousand".