221351567542560 has 6480 divisors, whose sum is σ = 1101445768025064. Its totient is φ = 41480047558656.

The previous prime is 221351567542517. The next prime is 221351567542561. The reversal of 221351567542560 is 65245765153122.

221351567542560 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 5 + 1 + 5 + 6 + 75 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 103325679925776 + 118025887616784 = 10164924^2 + 10863972^2 .

It is a tau number, because it is divible by the number of its divisors (6480).

It is a super-2 number, since 2×221351567542560² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221351567542497 and 221351567542506.

It is not an unprimeable number, because it can be changed into a prime (221351567542561) by changing a digit.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 861290145952 + ... + 861290146208.

Almost surely, 2^{221351567542560} is an apocalyptic number.

221351567542560 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 221351567542560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550722884012532).

221351567542560 is an abundant number, since it is smaller than the sum of its proper divisors (880094200482504).

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

221351567542560 is a wasteful number, since it uses less digits than its factorization.

221351567542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 221351567542560 in words is "two hundred twenty-one trillion, three hundred fifty-one billion, five hundred sixty-seven million, five hundred forty-two thousand, five hundred sixty".