221153118240 has 96 divisors (see below), whose sum is σ = 705450574080. Its totient is φ = 58227646464.

The previous prime is 221153118229. The next prime is 221153118293. The reversal of 221153118240 is 42811351122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221153118198 and 221153118207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2878129 + ... + 2953968.

It is an arithmetic number, because the mean of its divisors is an integer number (7348443480).

Almost surely, 2^221153118240 is an apocalyptic number.

221153118240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221153118240 is an abundant number, since it is smaller than the sum of its proper divisors (484297455840).

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

221153118240 is a wasteful number, since it uses less digits than its factorization.

221153118240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832194 (or 5832186 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 221153118240 its reverse (42811351122), we get a palindrome (263964469362).

The spelling of 221153118240 in words is "two hundred twenty-one billion, one hundred fifty-three million, one hundred eighteen thousand, two hundred forty".