55818217002240 has 2592 divisors, whose sum is σ = 253527261361920. Its totient is φ = 11203411968000.

The previous prime is 55818217002143. The next prime is 55818217002257. The reversal of 55818217002240 is 4220071281855.

55818217002240 is a `hidden beast` number, since 5 + 581 + 8 + 2 + 1 + 7 + 0 + 0 + 22 + 40 = 666.

It is a super-2 number, since 2×55818217002240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34691246556 + ... + 34691248164.

Almost surely, 2^{55818217002240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55818217002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126763630680960).

55818217002240 is an abundant number, since it is smaller than the sum of its proper divisors (197709044359680).

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

55818217002240 is a wasteful number, since it uses less digits than its factorization.

55818217002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 55818217002240 in words is "fifty-five trillion, eight hundred eighteen billion, two hundred seventeen million, two thousand, two hundred forty".