221412562560 has 512 divisors, whose sum is σ = 913129459200. Its totient is φ = 49652269056.

The previous prime is 221412562541. The next prime is 221412562583. The reversal of 221412562560 is 65265214122.

221412562560 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 25 + 625 + 6 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 6393612 + ... + 6428148.

It is an arithmetic number, because the mean of its divisors is an integer number (1783455975).

Almost surely, 2^221412562560 is an apocalyptic number.

221412562560 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 221412562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456564729600).

221412562560 is an abundant number, since it is smaller than the sum of its proper divisors (691716896640).

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

221412562560 is a wasteful number, since it uses less digits than its factorization.

221412562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34625 (or 34607 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 221412562560 its reverse (65265214122), we get a palindrome (286677776682).

The spelling of 221412562560 in words is "two hundred twenty-one billion, four hundred twelve million, five hundred sixty-two thousand, five hundred sixty".