221534038560 has 384 divisors, whose sum is σ = 780999045120. Its totient is φ = 52520472576.

The previous prime is 221534038559. The next prime is 221534038577. The reversal of 221534038560 is 65830435122.

It is a happy number.

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, 11107317 + ... + 11127243.

It is an arithmetic number, because the mean of its divisors is an integer number (2033851680).

Almost surely, 2^221534038560 is an apocalyptic number.

221534038560 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 221534038560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390499522560).

221534038560 is an abundant number, since it is smaller than the sum of its proper divisors (559465006560).

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

221534038560 is a wasteful number, since it uses less digits than its factorization.

221534038560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20040 (or 20032 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 221534038560 in words is "two hundred twenty-one billion, five hundred thirty-four million, thirty-eight thousand, five hundred sixty".