55603678422240 has 1536 divisors, whose sum is σ = 220952058163200. Its totient is φ = 12968606269440.

The previous prime is 55603678422233. The next prime is 55603678422247. The reversal of 55603678422240 is 4222487630655.

55603678422240 is a `hidden beast` number, since 5 + 5 + 603 + 6 + 7 + 8 + 4 + 2 + 2 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55603678422233) and next prime (55603678422247).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55603678422247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13055569231 + ... + 13055573489.

It is an arithmetic number, because the mean of its divisors is an integer number (143848996200).

Almost surely, 2^{55603678422240} 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 55603678422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110476029081600).

55603678422240 is an abundant number, since it is smaller than the sum of its proper divisors (165348379740960).

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

55603678422240 is a wasteful number, since it uses less digits than its factorization.

55603678422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 55603678422240 in words is "fifty-five trillion, six hundred three billion, six hundred seventy-eight million, four hundred twenty-two thousand, two hundred forty".